{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd  \n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.graphics.api import qqplot\n",
    "from statsmodels.tsa.arima.model import ARIMA\n",
    "from statsmodels.tsa.stattools import adfuller"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3456x1152 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gold_data=pd.read_csv('LBMA-GOLD.csv',parse_dates=['Date'],index_col='Date')[:1000].dropna()\n",
    "# bit_data=pd.read_csv('BCHAIN-MKPRU.csv',parse_dates=['Date'],index_col='Date').dropna()\n",
    "gold_data.plot(figsize=(48,16))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "黄金价格数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-7.203021692039101, 2.338669611336333e-10, 21, 969, {'1%': -3.437116468121892, '5%': -2.864527318984441, '10%': -2.5683606077036214}, 7625.687806302474)\n"
     ]
    },
    {
     "data": {
      "image/png": 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YTsyB0yvKcKwrQTjowDAMwzAMwzBHMGKNqHHYgRkdstFhJZvy/YkcmuMRN+hwjC+qy8FKB4ZhGIZhGIZhGOaYRV4UV7Ir35/MoqU2Ag2UXnFsL6qDsEr4ZBxrcNCBYRiGYRiGYRjmGEYONFSSKuF6OjjvObbX1IEoFUHMQ3cehwMcdGAYhmEYhmGYIxiRXXFIz4I5kvDuvKu78qXfa5oW+pM5x9PBbnXHumdBELJ6pFDkou4fTOFL976EXOHojkpw0IFhGIZhGIZhxoG3/+oFzP/Svw7KZ6VzBazZO2D/w1nQsKUDUyneNbDs6VDMf2AoncMX/7YOB4bSKJiW7elAx2MjSR+lypASz2zpwZ9e3IO9fcmDdVqHBA46MAzDMAzDMMw48Pz2XmXxNpH8Y20Hrr/lOXQNp8VjGmsdmArxttJKmu3K3f24c9lePLu1BwBsTwdOrwAAdA6l8fE/rkIikxePydek2PUdcV5/tF8+DjowDMMwDMMwzBFGMluAaQF7+1KH+lSYI5BS6RXFlA6ZXAEA0D2SAQA010ZEesWxbpT49JZu3P/SfmztGhGPmRVcUwpSHO3Xj4MODMMcNbz7tmX4yWNbD/VpMAzDMMyEQ4uYjoHUUb9Lyow/3jZTqMDTIZO3fQd6nKBDSzwCwE7rOdbb4L4BO/gnK53UlJXg941k8yWfP1oIHeoTYBiGGS9e7hhESzx8qE+DYRiGYSYcWqTsH0yJRSJ7OjCV4g0sKNUriiyA047SoT+RBQA01NhzLl3Tjvn0in39/qCDek2DL1AyU3Bee3RfQFY6MAxz1JDIFI76SDHDMAzDAO4ipmNA9nRgmMrwGj+aFRhJpnO20oEUD2HDbnFaifccK7Q7QYe8VBuzkpQVN71iAk/uMICDDgzDHBUUTAupXKFoSSKGYRiGOZpQ0yt47GOqwztdkv9drDVl8vauPJV3NHQn6MDpFYHpFfJGmFmkIiYZSR7tQRsOOjBMBaRzBcy98X784YXdh/pUmCKkHMmfyVIHhmEY5hBzMCpYuOkVktKBpQ7MKBlM5cTfxVIBSOmQLdjPGxoFHY7t9IqCaWH/YFDQobzSIZm1569H+/XjoAPDVECfk7v208e3HeIzYYqRPEYixQzDMMzhD+0ETySK0oGHvoOCZVlYtrPvqKw0sG8gKf7e2jkS+BrydMg6igehdMDRX32hFF3DaeScQIwSdKggZYWVDgzDCEQN4mNePHb4Qp32QZjnMQzDMExJsgdhMKI1Sm8iK3agtSqkDn98cTfe9ZsXJ+LUjlqW7ezDm3+5FOvaBw/1qYwZ7xqXPAkA4NfP7sR9azt87yEvh2ye0ytk9knXLl8svaLIBWJPB4ZhmCMIV552lPfaDMMwzGFPLn8QlA7SKubAUKrEK4NZvWcAa/YMjOMZHf10DtulInsTmUN8Jipf+ft6/N/qfVW9x7uRRp4ExKb9Q773kNKBdvV1J+hgV69wj9c7ksHcG+/HPSvbqzqnIxX52hVTN5QzkmSlA8MwzBEAddpsJMkwDMMcamhRNpHIO6f7pAoWlTKUyiFXzN2OCYR8D0acMoeHA+39Sfx+6W48s7Wnqvd5p0v7+lNoksqOB4lmhKcDKR00uXqF+7peJy35R49tqeqcjlTaiyodglUPMolsoeTzRwsTFnTQNG2WpmlPaJr2sqZpGzRN+5Tz+Nc0Tdunadoa579XT9Q5MEcWw+kc8oepNp46Al7PHr6Q0uFgmHcxDMMwTCmyB0PpIE1KOpyd1mqMJAdTOR4zq2TICTrQRsfhwIPrDwCoXunpffW+gRRmNteIf+sBjYmqV2R91StUI0l6796+6hU4E819aztw2feeHHPbL5gWvvi3l7CzJ6EEHVRPB/f1Qb+PZVlSesXRfS9OpNIhD+A/LMs6EcB5AD6uadqJznM/tCzrdOe/f03gOTBHEKd87WF8+u41h/o0AiGp1NHdHRzZJLLHRk4cwzAMc/hzcDwd3AGve7h6uf9QOo9cwTrqFzvjyeBhHHTwKj07h9KYe+P9WLm7L/B93t9930AKs5rj4t9B/iA+pYPi6eAe73AOZq3a3Y+dPYkxBwZf7hjCncv24N9+/jxe2jcgVCJFq1cEXJNM3hTKiMP3io0PExZ0sCxrv2VZq5y/hwFsBDBjoj6POTr457r9h/oUAqEOhMflw5dkhpUODMMwzOFBrmDilie3Ye6N909YKWfTshd9bXWRUb2fdu152KycwSQFHQ6P9IrOoTRW7ukH4P8dX9jRCwD47XO7At8rvzyRyWMgmVOUDkGiGVI6UHUWOb1CniPLc7HDLahFpS3HKzDYl8hi/b4hzGmxAzbFS2b630sqXeDoL/l+UDwdNE2bC+AMAGSR+wlN09ZpmnabpmnNB+McmMObw61D8sI+AYc/pHQ42o14GIZhmMOfbN7EzQ9uBjBxcwjTsqBrwPQmeaFYeX4FBR3KlfdMZQtYs3eg6vPb2jl82KbNjhahdMj6lQ6HYtPjoQ0HYFlALKz75j+kVCjW/OTHyQhxVousdPC/J0NKh4IJTXONJDWPkaR8LofbZtD+Qdv/ZKxlbb3XZ3ZrLYBS1Sv810FWzBxml2ncmfCgg6ZpdQDuAfBpy7KGAPwcwHwApwPYD+D7Rd73IU3TVmiatqK7u3uiT5M5xBzuN5obfTzMT/QY5lhx/2UYhmEOf+QFzUQNS6ZlL/amN0pBhwpjDgXTwrAoNV36BD/317V4w8+eqyqFY0vnMK764dP42RPbK37PkYBrJKkGHdK5Aq74/pO49emD+30f3diF+ZNqMas57tvAc+IBuP+l/cFBIzno4HgSqEqHgPQK8nTIm0LlQJ8lf3qxhffhAAUd8pLZ65+X7xUKiNESMexldcGU7/3S1SvkdnS4b8COlQkNOmiaFoYdcPijZVl/AwDLsjotyypYlmUC+BWAc4Lea1nWrZZlLbEsa8mkSZMm8jSZw4DDLQrqhXYpDtf+YFvXMHZ0jxzq0zikHCvuvwzDMMzhjyzdnqhguOUoHaY1xar+rOF0TvydL1NpY237AABb8VAp27rsOcmmA/6yi0cyA0U8He5evhe7epMH3TixayiN+ZPqoGuaby4tN4U3/Ow533tlD4Z2UjpIng56YPUKN71Cl16gaVpRdUM17d+yLDy+qXNMCpkDg2ns7UsGPpfNm+gZsYNnFBgcyeTx+XvW4e9rOqr6HO/1PnNOk+/xQpn0CrkdHe3T14msXqEB+A2AjZZl/UB6fJr0susArJ+oc2COHA733enDPShy5Q+exuXff+pQn8YhJVnhjg3DMAzDTDSySZ08x0nnCtjQMTgun2GnV2hoiLllDiudTg2l3MVOvkzZzNFM0fqTdslEuQTj0UBQ9YpMvoBfPGUrHPIHeQ6SzBZQGw1B0/yL2lSudJBISa/oTyFi6Jhc7waw9ICoQ8Zp17mCpSgdSnk6BM3xH9pwAB++Y4Xv8Se3dON9t6/ALU8WV4x0DaXxqbtWIxmQ4gIA5/33Y7j45icCn+scSovzpKADHafaQIesZrr21Gl47WnT7eMUqV4RmF4hezoc5muhsTKRSocLAbwLwOWe8pg3a5r2kqZp6wBcBuAzE3gOzBHC4b5QpE7j8D7LYxtX6cC/EsMwDHNoyRWCdzj/8//W49qfPIuuoXTJ9y/b2Ye5N95fUilgWnZpwrDhLv4qNaOjNAFgYhbKA47hYmPN6EwuD1eC0ivuWbkP+wfT9sL/oAcd8qiJGNA9ngqAq0qohH0DKUxrisEwSufnyMcMeZQO8qcXyqRXLN/Zh0c3dvkep/uimFIBAP7nwc34+5qOUZnPU2oF4N6jpOCp9j6Q1UyzmuPiehQLuARNT9nTYRywLOtZy7I0y7JOlctjWpb1LsuyTnEef51lWYdnuQLmoHK4GzW66RVjO8/P/WWtKG3EjC9JNpIcM1s7h6uSzzIMwxwLPLzhAC686fGqFnG5IukVq3bblQaGy5RcfGC9PT1+dmtP0deYlgVNAwxdlx6r7PyG0hMddDj6lA75gimCDXL1iruW78HJMxowvbHmoCsdEpkCaiMGDF3z/fbJMuO5/PL2/iRmNNUoLg5B/iBUMhOAJ71CnSMrKQZFSkUWzNGVa42GdXGMapF9G+geJUWI9zwf39SJuTfej/b+4ACIHFiMhHTozgUrFAk0BAWkRpSgw9E9fz0o1SsYphyHe5mYQhnpYaX8ZWU7PvKHleNyLEYlIUpmHuITOULpT2Tx6p88g7uW76n6vQcG04e9WolhGGa0PLG5G/sGUspCvRxyeoUljUuV9pQkXS+1ELGClA4VLlwUpcMYBk7LCl449jtKh2jo6FlqDKXdBaK8Q907ksXCKfUIGdq4zRcrwTQtpHIFxCMh6Jp/0Vw26CD9bvv6U3bQQQo06AFRByqZCdjlWglfeoWy8Pa3DwrgeacO9NJShqhk2JipIghIqEoHJ+hQROlw9/K9AICX2oPToXLSPR4N6a7SQVE5lSmZyUaSDHNwGc2C5T//7yU8+nLnBJyNH17IHv6Q0uFo77QnipW7+5ErWMpEtBK6htM4778fw80PbZqgM2MYhjm0vLzfTnHI5CqfDIzVSJJ2kUtNj6hkpixzr/SzhqpIr6BDBqlS71vbgbO//Ziv/CClVxxN8WgaH6MhXSmZmczmURcNwdC1g6p0oB362qjhM3IEyqdXyK/uHslgelONEmgIWvfL6gI56GCnd7ivk4MvxZQOgN9PpJKrNxalw4Gg9IoiSodyyG0+YujieshtQDWSLO3pQE/v7k1g9Z7+qs7lSICDDsxhwWjSK/7wwh584Pd+E5qJgDqisQwlvBM8sYxkRjdoMDYrHMlvtspBvC9hS2if3MSljRmGOfrIF0xsoqBDFf1jsfQKWqaVU3gKqXaJ15GRZMjQlccqQVU6VPaeoHPZdGAYPSMZ3wKX0ivGqmS1LKuoYeDBhq7ZjKYaJb0ikbHVBkZABYmJhAIfpHTw/vTydYsY/iWf/HrLsoMXMkFKB/k9ipGkpra9gmKg6D93oXTw3FJC6RAY8rCJhuzzrHa+AgAdAwHpFaR0qPA+IOTAYiSkQ9M0n+LEKqP4GAnwdPjd87vxzl+/WNW5HAlw0IE5LKhWjSbfuLt7E+N8Nn6oIx3LJrp3F4AZX2hwPdz9QQ5XVuzqA8DtlGEYRmZnT0IEG6pZ5OSU6hXu4/RnrswChzaRS6n3TMs28FOVDpWdn+rpUNn3Cgpo0ELc+33Gy9z59ud34cSvPKTsUB8q6LtOb6pBIpuHZVnI5k1kC6bwVTiYSodkxlU62J4OxdMrIgFpLpZnK03XNFXpUNpT0p9eIT1XrnpF2rk/is3ZSn02pexkRzFfOTCURn0sBMDv6VDpfUB4PR0AIKTryneSTzHouyYCPB2G0znUx44eLxSCgw7MYUG1C0V5t+EV331ynM/Gz3hErnkxN7HQrgPHHKonnStgnZOzWG4ifKRQjeEbwzBMMTZ0uNUj5Hz2csgLoqDAQbk5gSGc8Iu/xqL0ilEoHZSSmWNQOgw6aRTFfCHGuhHw9zUdAOzqCocaN+gQg2XZi3raJY9HQwgZ2kH1KCOlQ004BC1AZSGPg0FBB698V9c0ZbGvlYk6GN7qFUp6RemgA/kxFDxtjwIhlQQdyqU7Bd13HQNpzGmNAxh79QpvegVgXxP5u+cLwcFHQlbMWCLokBeBkaMJDjowhwXVdtLV5FWOB+NRveJoWcwdrgilw0EY8NfvGzwsdl3Gi/X7BsUEudqdA7ec7OHTvpft7MOpX3/4qPqNmMrJ5k08vYXTfZjxgfwcgPLpFfJcZjhduhSevKuaL5i++YVWgZGkafqNJCudpqglMytbvAWNrwMpO40i53nOGoNCdO3eAXEt6fvLC9xDBV2zaY01AOxdalr420oH/eAqHbKu0oHSK/704h5s6xpWngdU5Q3hPVNDV5Ma6O9ic1+jVPWKIpUsiGJKh0rai6t0KB0E9N6v2byJnpEMZrdQ0MF+Pl0kAFKOnCe9ArCviRzEy5cJviQUI0n7/8OZHBpqWOnAHAG8sKMXv3p6x6E+jaqodqGYqmIXsz+RrdoczwsNfmMZSljpMHGYpiUG14NRcug1//ssLvqfxyf8cw4W5OdQGzECJyalqFaOKLN+3+CEBIl29SaQzZvY6ky8mGOLXz2zA+++bRmeqjLwsIVLxjIBbOgYFOkL5YIO8gJqV28y8HFC3oh4xXefxB9eVCsH0QKu1NzBNZJ0p/OV9qlKekWFi62g8XWgiNJBmE9W2ce/sKMXr//Zc/jNszuV9xvltP5VkM2bSm5/pQw6PhUzmuygw0gmLzY84tEQQvpB9nTIuJ4OlF7xpXtfwqt/8iwAO+hw7rwWfOzS+YHzZu/PqWvlfRy8ryc0zZteISt9/O/NFElpcNtR8d+bSsSW24Bc56k60Tlkb0TM8gQdkkWUDuUqacjpVnLQQb5P8mWuQyKbR23E9qigj2elA3PE8LE/rsK3/7URe3qD68oejlQrv6tGOn3GNx/Bmd98pNpTUhiPQWQ0hjdMZciD6cGSNh7sWtwTyYpdfTiurRZt9dGqg2OjVfCs3TuA1/zvs7jliW2jen8pqATV/oHDT+lQMC184HcrhIcGMzbMgDrv5Mq/fl9wmbMgUtkCrv7h0/jkXavH9fyYIxvLsvByxxAWT2sAEFyiz7IsMe7Ic4VdPa7fVNC4RH2tZVnYN5DCHo8/Fc0Z0iUWVsLTYZQlM0kSXrZ6hfP/wPSKIp4OpH6rdv7U3m8HA0hhMhGL+M//dS0uuOnxqtPwBlM51IQNNMXtXehEpiDk8a6nQ3Vj6OObOvGLp7ZX9R4ipSgdNDGXdttOATURA7Gwgbxp+cZ3n6eDrqZXCD+zIp/vr14R7GUQmF7hnKP3clE7KhVjouOVCwK++ZdLlU1HKpfpKh2c9ApRvSL4eMWaYLCng+ZRMUlKh4ADJTJ54d/gejrk2dOBOTJYMLkOAPCPdR2H+Ewqp9qFYrqKvEpg7IOW6DDHcBhWOkwciQD334niaCrJua1rGPsGUli5ux9L5jYjbOhVp1eMtl1v7x6xz8H5/3hCBmYdg4c+B9hL93AGj27sxMf+uOpQn8oRTzpXwHFf+hd+8pgauJraGAMA7O2rPPCecyaJz2/rGb8TZI549g+m0Z/M4fRZTQCC08/uW9uBc77zGLJ5s2jQIWjYoMUILfi9O9G0oCo137EsC7qulsyUP2tH90jRHf2hVA4ttRHlHMoRaCSZpKCD6Xmte47VQF+FPov+nxuDqs7LQxvscuvVjl+DqRwaa8Koi9q70CNyekV0dNUr/rKiHbc/t6uq9xA01tVGbE8Hr2IlmzcRDemoCds76d4gi1/poCk+Dt7fwIshKWw0qPOvciUz00WUDnSPldK1WJ7gioxXcSP/e78zJ5jVHFeec40k3fNcv28QD79cup3Inx8t4umgelv4j5HIFISqQTWSZKUDcwTQVh8F4JayOxKoVulwsCWw1N+MZbk5UTvjXCLSHXhjYX3Cq1eMpi704cqVP3gaF970OPqTOSyZ02IHHfKjz2msBioTVW5g/e1zO/G5v6yt6tjUPxyOSgeazx1Ld+3+wRSu/uFTFanvntzcpZQQKwXJw+94YbfyOHWJe/srDzpYTjPm6jeMzKYD9m47BR2C5Nw7exLoGclgKJ0T7Wdmcw2GA1zpZajvzAszO/XYIuhQYr5TrmTm5d9/ChfcFJwKOJjKu0GHMv24myrh/w70Pb0LXpqbVHtPiT7Sk55RbTnDUtAOf7XHpKBDrRN0SGTybgWJiG0kWe2crHs4M6o0Rcuy8Pc1+xA2NDTFw9A1/3icK5gI6TpijnzfG9jyeTp45AX0VYoHHdy/NU3zpFf4jyNTTOlQiSqYjhdk7OoNDMq/B6VRULsXng5Zf8n1257bKf4upugs5ukgHyenBB38xxnJ5FHnmQcNcXoFc6RAN2ypxUAik8dwemw+B2PB2ylX20mXkhtOBKM1kuwaTmPujffjzyv2Tlh6xWgXfX9fs8/ndbF0e6/YtTgcGEhmK5I/JsQCNjzh6RWyMdPhUjt8NHgXdkvmNiNiaKNIryCJcHWfTyZrddHSEsKVu/vx+Kauqo5NO0+Ho9JhPMrvHmk8t60XWzpHynps7O1L4j2/XY4v3LOuouOKXG/PTIYmoi93DAX2B09s6sIjzg4WQbuo47iZyhwFCOPAJls9ExR0poVcIpMXRnTzJ9UprwkOOpDSQTWzI6gdl/KwMi3HSFKvPr1iKJ1Da111SgfvXG1ImkN4lQgi6FDlPUWeAvRJ9JHjqRa1RnlMX9Ah6yod4k7Zymrnsz0jmVGlKfYmsnhmaw8+eunxqI+FYWj+8btgWjB0DbEKqz14UxrKjVdykMJnJCm1h8CSmWWUDqUCQnSNg5RH3rm2vOin4FqNE4TJOp8R5Okgz4WLtZOiRpJm8HWwLAsF00L3cEY8lsjmhXLGtCxk8gVk8yYaOL2CGQuWZeHmBzdh2c6JzeWlm6BUZ3rGNx/BKV97eELPoxjZvIkT/usB3PTAJvGY3Odk8ya+/o8NuHv5noB321SbXjFWiuV5lWN7ly2v/MuKvcrvMZ4S/dEoKLZ2DuNTd63B5//q7iCnsgW87Vcv4P2/Wz5u51aKv61qx79e2l/yNad/4xHccNuysseiAaM+FlIGt109iXEP9siBhs6hTIlXHt5sPuAuAFtrI5jXVouwoR80Twc36GCUfF2+YKE/ma0qmEQ7T/sPw+oVOaEkOXaiDhs6bG+Fcn0VqfMq9SOie9trfEYT6/5kDqv39vve997bl+ODv1+hPDbaXVkvg8kc/vP/XkI6V0B7f/KwKPPHjB5qY7QACNpZpfY2ksmL9nP8ZG/QwX9sWmxR2/MGF+izSwcdLGiekpmVdOHpnL2wcZUOpds9KQO8i0elAkYRpcNo5zveihkTEXSoNp1wMJVHg5ReoXo6hJx8/lEoHUbx3ai/pJRqTdN843HetBAyNLHI9ikdPL+Nt0KIMFEvFnSQq1d4Xle2ZCYpHTzPVbJxSu8Jmt/5gg7SvynIEHeuhze9Qj5ntW0XSa8ICDp4zUTl36RgWfjnug684rtPiLlkMlMQ/YtpunMjVjowY+K+tR245cnt+P7Dmyf0c+iGKyWTPpSmhoOpHHIFC794artbpkbqdO5d3Y7fPrcLv3jKrsBhWRZ+8PBmMXEFSssNJ4LRjnXuTpw6GIynRD8/imDGkNOpyYtmahObOw+O4/9n/7y2ZF47Te5elIJ0L+zoxQd+t8I3ANBOQ30sLK75voEUrvzBU/jbqvZxPW85tUeOVh9pyEGHs+Y0Q9O0skGHb9//Mm55Us2fH+1EkJRW5eZnedOCaaGqCjRJp185HEtmZkepDDmS2dBhS9TLLWyoX4wG1ZMPgBRv3qADBaUjho771x2o6Fh5U13gjJYfProFf3hhD/6ysh0X/c8TuLCItH0sLN/Vh18/s2NU7/37mn2Ye+P96Bo+/O6NwxF/0CFA6eCMCSPpvGg/c1rjyoIsaGx2F1f2c16lgwg6lJjvWI7SIWSU/iwvpFBwPR3c7xUUWCG898dAiYWZN6hSKdRP0LvcoMP4p1dUe8whoXSwF60JpXpF9UqHVLaARLbgKzdaCb0jdtCh1fkNdc3/GxRMCyFdQyxUmaeDL+jgPO81nKTXqSUzNeV18qX1XpNcwfU/+eGjW/GWXy5VngNKB4TovIPuR+9jctumY8cjIeXf6QBPB3nOka0kvcIJ/Ok+pYMcfLHnJclsAc9s7cHX7tuAbMFUlA50b3LQgRkTtHia0xqf0M+p5Iathu8+tAlLt/eO6Rhdw2mxyJBl3RSplW9KWgi3ObK/7pEMfvL4Nty/zt0V9yodTNPCTx/fWpGPhWVZVftdjLZkJtUQ9i7mqnVMLoU8aFYaYadziUi7I9Qxj1ct7OW7+sZUqrQrQEXwtfs24NGNnVjfMaQ8Tjvb9dGQGIweeGk/8qaFnpHxDQwkpAngeP6OB5vNB9xruGRuMwA7Ul8qIPl/azp8fQG1pWqrmbmO56X7KWqXvVXcs1S9YiSTV8rCFWPl7n7MvfF+tFfhATBaxlJidKLIF8wJS0uyLAsbKehQ5rvTYicWLq1+8b5e96ZX5Ew0xEK4ZGEbHli/v6LvVm199mLQd5QXfuNtPnvPynb85LGto3rvHxz/i10949/WOwZSeG4cjTj/vHwvXvKUvDvY0AKGFgBB/SPNRxJZN+gQDenCIR8opnSwpdb3OIHxokaSZZQOhqYpRpKVpFdQv9jqUTocGExj0X8+iD+9GKw09SqBFAm6L202+D2AfU/8Y21H4HcTi0bnbfR9RqMGKEYlKRs7exK+x0R6RcQ1kjwwmEY0pKPOKVtZjdKB5ieVfre9fUn0Ou/pTdj/b62zfdx0TfMtjnMFC4auu0qHMht2mmcgp/bs/UqkFJADvrrmVTrIG2L2/z9z9xpcd8tzSmBga+cwVu3pd1Mm8hWkV1D1ipwp5v8DTjlT728qb8CK9Iqwml4RVL2iVECNyEnHlpUO8phD7YHST+j8PnzHStz+/C4Abv9iQVI6lEk9PRLhoMNBhCR4Y43WPrh+f8lyayJ6Pk676b9+ZiceWF9aBl+O99++Ap/9sy3lH0m7QYdM3kT3cAZv/MXz4jHataYOaGun7W4vVyjwejos3dGL7z28BWd+8xF8658vlzyXO17YjTO/+UjggFKM0UpuqfMI6ZoSBColl6yWYqV5SkFtJBxyBwxql+NRCzubN/H2X72A34xyNw4ADjj1lOUgyKKp9QCAZTvVha+rdAiJ3+rB9fYOZ3KcVTFyesWRbCq58cAwFk6pw1UnTsGrT5kGAE71iuA2NJzOoXs4EyBdHN29QYG/cqor6gc6h9J4569frKgMovybV2ImSQP/il1+KX4pBpJZ/OyJbVUt2Ol6HU5Ch2t/8ix+8fToSraVY29fShjNlRv7qF+PVKl08PZZmbyJaNjAq0+Zhv2DaaxpHyh7rEqDQfmCWTKYqgV4rveMjM7U+Yt/W4f71vqrUA2n86OeR9D75J3x8eI3z+7EB3+/YlyCLOlcAV+69yX88cXd5V88gVAfXxMxoGv2d0x4/HCE0iFTEP2VrmmY2yoHHfzXJF8wsWJXn0g19S4Iq0qv0GUjyfLfa1AoHewFK503KWB+v3RX8Of5lA5u2/bOOQsiAOc/zo6eBP79ztV4bKPfryfrBHHomgmlQ5EvZpoWfvbENrHorIRS1Q8Au3LBZd97Emv3DojH8gUTI5k8GmvC0HUN8YiBRCaPXb0JzG2tha5rMHS9KqVDl6OWNK3KFCEX3/wEzvnOYwDcMZTUKraiVt0EKJgmwoaGWNhuH/70CvX43r6UrpP3nqagi9yPaNDwwPoD2ChKnbqvp+927+p9WL1nQAk2pXMmcgULnc6cj+bKlaRXjGTyeHJLF7738BZ84x8vK+8n5L6d5jdhQ0PY0EQwQXg6SP2q3M9X5+mgK4En+oywocM0g9scGUlalsXpFcz4QNHwse6OfuQPq/DGXywt+jzdVOOV/1Yw7Ztg/b5BfOB3K0aVmnFgKI3HN3WhdySD4Yx7I6dzBdyxdJfS8dGATh3HFkfuP5Jxr5t3cB6WAhm/fnZnyXMhU7rtXZWX6nNzE4Off2xjp2LMaZoWTvrKg/j1M/a5GLquDMjjWX0jrygdSv82mw8M44nNXaKDDUtKB2ov+jgoHVK5AnIFS9TZts/TrMq8lKTxTTVutJfMm9ZIEwFANpIMoWDag9eK3fYCctyDDlI7LCVDPZyxLAubDwxjydwW/OrdSzDTKR8VCRU3ktzRbQfpvAN6rsTEshQDzg5ZucANnc8zW3vw7LYe/Nff15d8/d3L92Dpjl4xYFdiJkmTVaq9Xilf/r/1+O5Dm7F0R+VKMLp+lZq9HQz29iexaf/EpFXJaXHldvPoPq40vUIoHXxBhwKiIR1XLJ6CsKHhgTLeMUDlKrHP/nktTvv6w0UX1l4ZMgBsq2KsIdbvG8Sdy/bik3eu9j03lM5VPL5n8gV87b4NQsUjFG3jEFz2MpLOI+nIxU3TGpOfxYaOIeRNq+JKJuOBZVk+ZRTNdyKGLtK8fvToFuU1aec1cnpFyNAwt61WvCZoQZktqN+vmJFkKeNsYSRpVKl0SNmfK1z8TTVVyasso0N67xNZ6eCdf7hGkv7zoQVdIsCMmcYE+kxRMrPIWPHCzl5896HN+NK9LwU+HwSdUTFFMJV0lpWSlJbaWGOPLbXREBLZPHb2JDC3zR5Dvfn85ZCP772n8wUTT23pLmq8TukVzc64pUnVK+h3zJORpCiZqX6Gt7/yTv/c6hXq4/GoX+lAf77qx8845+l+lrdNqkEH++/2fru/ECnizndZtrMPl33vSWXeTIfrGEy5qkmPUoJQ1MAFOwijaRpCuqtATnmMJMnzJOgYMnL7CesUdLCVvnRv0+9l9yEWMgFtrp48HSw39bSejSSZsUBKh4neHR3P9ArLspB3gg6f/+s6PLqxU8kFrxQajP/10n5hugPY18J7PWhRR9fLDTpIwQrPYq+aQA4ttKsJyggHX1BnnxE73h0DKbz/dyvw9zXujtRINo9EtoCXnF3ZsKF6OoznREr+HuWUDr98ajs+/sdVYpElBx3odxiPySj9HrI/xE8e34Yrf/BUxQEXCjo0SgtBeq/XwJECC3XRMCwLeGiDrXII6dq4l1dNSm1tKJXHg+sPjLt8eqI5MJTGYCqHxY5yhCjl6UDKIF9JrlH2ZyOe4GIxqE33OVLScpf6C/fYE08KpHiVDju6R/CRO1YqfQZNWuR0o7V7B7C3r7QEfajCFBGZ8ZQIjxe5gimkuuPNBikVqlzeMrWJStMrhKeDHqB0COlorAlj8bQGbO4sv+ivVCVGyoNy6T7yQqGa0p3EPySFQ4dn8T6cztteJxUsbjYfGMbtz+/CZ+5eg4JpCaVNNWk+v31uJ372xLayr6NxuXckg+8/shkX3vQ49o+yggztMFc6Vg6nc2Puhx/a0Ilzv/2YEnjI5O1FitzGvIsa8phKSEaSuqZhnhR0CDq1fMFUFoE+I0mPyV0QlmVB11UjyUraBfV5VL2C2ivNA4qlJfqVDvJucPDiOEgpKuZ5JYwAab4lSmYWabOkLqrGY0lUrygyftGuu/z70LyJ5iR10RCGUnns6UuKAFO1ng7yOXsDOs9s7cENty3D1+7bEPje3kQGzfGw+O11qXoFtdZ8wfZ0qAlX5ung7UvFbye9TtPc9ASvp4PyXunSei+J/LvTOdF46zXD/9p9G7CzJyECQfax3Y3AnU6qWI2j5vAHHUxk8yb+9OIeZPKmUAXJ83Kvp4NXzVaJ0iEqff5AMocP37HCeY0TdAjZgcugjdt6ydOBlQ7MuJAZB6VDJYOqayRZflJRrnOkp4fTOTQ40d1q8/TzBVMMmv+3pkMNHuQKvutBkwzqlLaI9ApVjiVTbICUzbLo2tHCopqFv1fpcNa3HsVr/vdZAMCuXnsxJk9UvPLLgmkpndPevvFzNFdkXGV+z0TW3ol63snLjwQoHcbD04EW+nv7UuI6HxhMoXMogz+v2Ku8tlibpkFfPkcK9HhN0BKZvG2WFNZRsOzg1vGT6zCzuWZcU1kAICXtzPxjbQc+8oeVWHuI846rZZMTOFw0tUF5PGzovknYvavbsb17BDucAd+bTjFambcIOpTpp6hNV+vDUjBN6Bp8i57HN3XhwQ0HlPQqUl3IAZDX/+w5XHzzEyU/g5qud6e9FHS9Dpc4lWlayBUs9AyPLgWgHBs6BjGlwZZwB5mcyUHBkVErHTyP50xEHeO0umhIuWeLUclCQe7DvYEAwhJjppSGVaYP2tY1gme2diuPvbizT+Tbe8t70nXyligMgtr28l39uO3ZneI9lWx+WJaFd/76RXz9Hy/juw+VN8Cmsbw3kcUDL9mBXzmdshrWOikx3rE0iD29SZzytYdx57K9ZV8L2GN1kNfL7t4EUrkCBhKSgVzebUtEs/O7EBRsGc5ISgddx9xWN+gQmF5hWj6ZuQz1jaWMs0npoHo6FH25gL6/UDoUKOhgf5b3dOmf3gDCQAmlQ17Mm/wnRAoH773x8ye34/uPbFHOqZyRJC32RlNKvdgxDwzac0pZzUhz36Ya+5rVRg1s6RxGrmBhnvNb29UrKj8Pee7q7R+pbdzxQnCKUX8iJ34/wO4H6fvQmFQwLYQMXVI6eIIOnmN6xzJqt3L7jYZ00d6UkpmeY1WsdHDauVfpQN+F5n0v7OgV75OPR/5U9B29c4p8wcLvl+7Cl+59CXcs3S1UQZGQpHTweDoMeErHF5tb5woWjp9ch4c+fYkwpyQV0XPbepVjRgwdlmUFBx1iFHRw700umcmMifFQOlTy3kpKZhLlAiDUeQ6n7Tw2oHzQYfWefsU1noIFUxtiWLm7HxslGW+g0iFLEfACLMsSSofhEjLEoJzZwWQO53z7MeWzAIgOp5pFTNCEdEd3ApZlod0JIMgTA+9EK5UrKAsaClSMhTte2I21ewdUpYOnHvD/PrZV2a1NOW3wic12ioksySwWdHjdT5/F75yc90rpk3Irtzq/H13/Xz2zQxlci7Vp+n3k35raRtdQRpnIJLMFxCOuc/SKXf24bNEk1ERC455eIQe/KPhRymOlHHNvvB//HiChHiupbAFzb7wff13pr95BUvpFHqVDJOT3dPjM3WtxxfefwvYiSodqFVUF08Ln/rK2Yk8HatOU+1pufU/mbfsH0pjSEEOHR+lAku9+qY3SDlalu90E7cRVIw7KBRgNenlycxdW7emv6lxGS04YdU6c0uG0mU0A/Nf3c39di8VfeVD8mxaYlfoNFKtekckXxEIkHgkp92wxKlko7JICVd525WXYs1teiit/8BTe9Ru3NHA6V8CGjkG8acksHDep1hd0oGNXsrFAO9EnTK3Hdx/eLMqRVhIsXLVnAM86xpCVtHEaX3pHsmK8fmpLd+A84wePbMFvSqRCukqH8r/dTmc8LVeCmfj0XWvw6bvW+B6nYE4y547f2ULB5zEiKwRf3NGLdU7QOSEFHQxd7V/lRZLsJyCrNosZSZb3dFCrVwhlpvSZNOa+sKMX/YmsSItoiZPSobL5qXcuNJjKiTnDTQ9sUtNMPZ4MMgnP5hJxh+Ql4S4w7X8Xm9OS+mI0G3rFjhmkdKC5b4MzF45HQmL3fTyUDt57UvEB88xjcgUTw5m8IsFXVArOn3nTVJQO5UtmqucXZKIeDRnis1Slg/peOUDlVcjIvzv1Y6QIo+tAbZb6gG/dvxH3OYpi+XCkvqaggzd9IWea4pjZginuXzm9wuvp4F3nFOtrs3nbtFi+170BTQpYhEMazCJBB/J0gKR0qGOlAzMWaHAZSx54JU7s3ihhKcotyKjzHMnkRdStXNDhuluex+Xff1L8mzwc3nL2LABQFkHpXME36IgIeN7EgaG0uAHlHY9hz6I+SOngPU+3JrD9774qTIfc9Ar199vTl8QeZ1EvX8shz/klMnllcKvGxLIY377/Zfzy6e2qp4P0d8dgGt9/ZIuiLKDACF0/WQ7n5gK6n2GaFta1D+KrReR9QTyxuQvX3+Iag9KAkM4VoGt2NPtf690ydsXaIMmXUwFBh0zeVK5xIpNHbTSk5DFObaxBPGIglRvdTlsx5POhhfPyUQYd6P6SpdQPbTiA877z2JjL2tI98b2AHcrNB4YwvTEmAolExNCFiRegTkjI08F7v1K7qXSata8/hb9IfUDZ6hVOm95fYfnLqQ0xAMB581sxrTHmUzrsc3ZT+qXdTGpL1VaW8L68aziNlbtLBwtISVLqer3nt8uVe2giyYn0leyYy0V66R7OoGs4g9NmNdmf5blgf1u1D4A6zsj/LkdxTwdTqCVqo4Zi/lqMSjwdZCl5MaUDQbtddD6VQIsmO5hsYcmcZlx14hS8sKMXnUNpvOkXz2NDx6DovysZ4wedce4LrzoB2bwpvmcl/cs/13UgEtJx2aJJmCNVYih3/r0jGbH4/Nb9G3HnMrUSgmXZO4+Pbez0HQOwg4C7nOBIJUoH2m2V+5Js3sT1tzyHZ7eq1TQsy8KqPf3YHRD4p+sqL/Bs1Yw6VZbb01tufUH8rQYddExpiOEHbz4NgLpIot8gb6rpFdm8qbR94eLvUUrK2EoH1UhSpA5I7SOdt13+33rrC3jnb17EUDqHmrAhqhoIpYN0PvK5eP0ViMGUu9veOZTBjx51q6q4ZWj9501VoHb3JvCa/31GLPLl1Cq6b0R6RbG8+gqCM8UoFjSncSNI6UDjZl00JH7XeVLQYTTVKwD/+CP3G7v71Pban8gimcmLKhKAv5KEadrlpmVPB1/QwXM+3hQJM+B3j4V1cc/JQQdvP6yUjfS0m2RAMJF8Z1xPB/s9ch/Q7VwvCmKEDU30FbGQml5x46tOAGCPuS217lyHgg7hkD+9gtqad/1QbG7QMZDCFGfOIb6b1H9s6RxGvmCJe9S0guc8bslMux+qi4bGrZLc4QQHHQ4Su3sTYrI7GgkY4V1sE/mCia//YwM6BlKiE61kUlFe6WA5n5sTHW1/BYv1ZIBk9oSp9Th7brOiMLCVDuo5iAh4zhSpFXNa42rH45HXBwUdvAY5dD1oMtRXhaO46CMstTPa05cU0Vk519+bupHMFsRiY9GU+jEHHXJOLujqPV6lg12G6mv3bRDtbYvkq+DLGZXaiPB0kDq65CgG8ac2qzLhJzZ34Z6V7cjkTZw0vRHHTarFH5a6csFik0pqZ/L9IrcruQ0kswXUejrp1toI4hGjaqVDwbTwrX++XDQXWZ5w9ju7RSt29VeU+rRx/xCWfOtRoZAIykH92n0bcGAoPeZSn26akv/7bzowjBOmNfge93qPyJOGnT1OeoXP7Kr4blYQ3slTpekVlebr5kwTx7XV4sdvPR3Tmmp8wYogpYM4lyqVDm4pN/v/N9y2HP/28+dLfidxfatc32/oGKyockcx/rxir+LELs5HCsZW0rdXwrauYSzb2SeMZE93gg7lFg0jVSymAXeB5J2cZfKmmGTHI4ZS5rYYlahc5F3cskEH6bUPbzigGGoWgxSCZIJ71pxmXH3iFORNCzc9sAnLd/XjO//aKPq0StSMJBM+c3az8ni59xZMC/ev24/LFk1Cc22kot+EpPK9iazSb6/wBOLa+1MYSOaKLhIpXe24ttqKgg60USF/p4FUFqv2DODXz+5QXts1nMFAMif6bhkRdJDOK1swfUqHYmPKsEfpAACT6u3Uov5EVuyKu2pUyzcHCzLY854TYKeUvPHnz2MgmQ00khxM5XDWNx9RjkVBvw0dQxhK5dFQExIyedfTwf2coIWWt9kMJLNoc0o2yscxTUsEKgLTK5zf9c8r2rF+3xDuclJj5GstFoJkJFlk4Udz3tGlVxRTOlB6hfv8kCfoQMbW8YiByc7vPCZPB889Jn/2rp6Ech27RzJIZAtC0g+oG0Ya3OBH2NBF4MxnJOk5Va+nV1B6RSxsiD63lPG4GRC0IoI2Lynt2Fu9Qm77ZJ5pWhbChoZZUjA0FlHTK2Y21wCw5xB1UvlJqtpmV+sykSu4SoiCaaF3JOOrhBJUpStXMLGnL4njJtX6niPe/qsXkDcthHQdmma35aBAl2skaWE4nTsq/RwADjocNN57+3KxczsmpYN0o8od2+6+JH773C78Y22HpHQo3wGXiwxT7fLhdB6GM6j1Vln+a0SSCr3u9BnKc7ang0fp4ERAswVTSPPPmNWkpCxQOUUiaIHmnSTRdafFWDUTbLnDld2aE5m8UDqkyqRX0PksmFKnyHRHAw3Y+wfTikN4wTTxz3Ud+MuKvWJSvFUyUUvlCsKwBlAHNVEyUxpERpOPK0e7I4aOhzZ04j8cOX1N2MCpMxqxf8g95yD3asBtZ3IbTWXzYnDvkswkE9k8ap2SZkRzbQQ1YQOpbKEq1cDS7b349bM78eV7g6skJDIF1MdCipSwN2HvzP3xxd24/pbnih779ud2oWckI+TSQe7usgHUWKAJdDpnYv2+QZEik82b2N494kutAPxGkvLf6Zyp5EB6X1PpNd7dq5rqlUvPqHb3PZUtYP7kOsQjIUxvjKFjIKVM1kTQwemPlXraBZIYV9ZH0zvpO9B9XapaAU3kq/11r/3Js8JHplpyBRP/ee96344zPUeMNdAF2P3jlT94Gm/+5VI8s8UOQJ48oxGAmrMsL6joelNfUKnZZrqop0NBTLLjkRCSRRau8m9fSTuTg/7lqqLIr13bPohrfxL821140+PibwqQrdzdj/mTatFcG8Hps5rRVhfFvattVUhN2O2/K02vqI0YaKwJY0ZTTcXvXbazD13DGbzm1OkI63pFKiDqq73taJUTdMjkC/j7mn0iHaHYInHt3gFomq1WqsR7aVgolfyqv2e29ijnQ8q7gWTWJ/mmoJLcNrN5U/gKrfva1aiNGEXNiWUjSUN3zf0A4AO/X4Ervv+Ucm65gunzNKBraFfSyIuKOl5fh58+sRUrdvdjXfugvYsq6eILpoWl23t9KalyGx9M2RtJNN67fV+w0oF6rCAjybY611eA0prkne1gI8ng31VWOoj0CvJ0KFKeWXhfjFN6hWlaUnpFKaWDfa5zWmuFQqDS6hWDyRy++9AmbDowLPqvTN7EH1/cLdqrfI/u6Ekoc9quoQxS2Txqo+71UlUHkAJgthFqLKwHXCP1XH2eDvRdpJdFQ7r4LNlLxLvRF1Qyk5BLrRIHhtLIO6aPQPBvQ/N207JVGbJvSszxXqGNIfLeyBVMZQ5PVSZqwgbSWdVXbkdPAmd961H8/KntyucGBbz29CWRNy0c11bne45I50zkCyZChgZd04p6OjTEVKUDBx2YUZPJF5Sd7cw4KR3kxRoNgls6R6qqXlHO2d+VAVpiAVoq9zcook0DX100hGtPmYaQrolodpDSgTqMgmnh5Y4htNVFMKsljpFsXhzfW71ANkGjiL/3uBmhdLCPv6FjqOJBqljt3kSmIKKz8g64bJZpP+d6OiycUo/eRLZqQ04ZuR0s2+lK+3MFC+39KSSyBexw2tyu3oT4nqlsARcc3yoGDLmN0I6nPOh4TT8rQV4AnDjd3U3vGEghGtZRFwspJj3F8q3lnH8asBLZghhkuqQdgkQmj3gkpETdSemw6cAwFv7nA7h/XWX5vvQ7Fovfpxz/CFrU0KC7fFcfvnzveqzaMxD4vj++uBt3O6kudN8F7ZbS5CU5xrQQmkCncgV85u41+Po/NsA0LezoGUGuYOGEIkEH2RXfO8lbMLnON2BWUlNbxitrDpKedw2ncfn3n8SmA0NVl/7N5E2RvzqlIaak4iQyedH2aKdzRLpv8wULe3qTOP3rj6AinMtD14Qktq/+yTNFlTLCmd1yFx5/W9U+5lLKpdjaOYJswe+fA6jXv9qAchBPbukSf//62Z2Y1VKDxpowwoaGdN4Ucnc54EbnQH2BXOViJJMvGgwRY2lgeoXdBmojBpK5gpubLI1R8kSykkU1taOFU+rKejoETaq9WJZaVnL/YAqmaWHl7n4smdMCwF4wXLl4snhNjSSnrmSMH0jm0OTk7cs7cuWCDv9c14GasIErFk9GyNAqCoJSEMHrl7R/MI2OgRR+9sR2fOquNfjBI5ud1xdROuwdwPxJdZjq3L/l+oCRNFWRkX7bgivNl/t+CjrIhm3iOOTpIKdX5E2xkG6IhdFWH8WqPf3oGvL//kp6hdMmg7ww6NzyBUuY6BF0TRJZO0hA6WLeAI2sCNACjCSf366mlaRzphKUGUrn0BALi/cGpd0EqVu8AYTBZE5ROtDCT15kBi3Ci3l1xMKy0sEUFdSA4veoVyJfDMuy8N7fLsOjkkdK0H3Qm8iKz5T7x8GUnZJC177WURkcJ1UpMXQ9ML3ip49vxVt+6Za6f//vluNnT2xHMlsQ8vxHXu7El+9dL0qy0hy2PhbCrp6Ech9s7hx2lA5uf6Ap6RWa6N+obcTCRtlrpHs9HSz1/3QcmkPKygjvz1PKSDJo/lswLewfTIvAW1BlEdq8NS07ZWFOq6t0oFuA5scUsMsVLDXoYFBA2lbCBm2+UjopEdT/0WuKKR3ec8Fc0X4NXXNSXoLnPFFnzmJZFoYzuaOyXCbAQYeDwp7epCIt8t70e/uSyu45oO70bNw/hKecHSN5sSnvQtMxN+4fKmu6I1NW6SD1NBRh9MoSLcvC1/+xAR/9w0p8MsicSSr/0lIbwStPmorjJ9mRwUwRpQN1Hi/tG8TCKfWoi4ZgWfZkIF8wfZNQORBCg55vcSQFHWY4suufP6lGMzP5grKIF9dBkpjJC+bukYw4F3mi4k2DSWUL4vdYOMX+7mNRO8jHl/0ECqY7iSUptmnJ+fgFtNZFcdYcW2or77LQBFYOOsifs28g5Xhw+I2Ibnt2p5iEyZMsklUDttlnNGSgLhpWjhuUb51yBgLaUaDPTGULYpCRK1gkMgXURg3l3FtqI6iRpIf3rPIbKgZBk8BiZftsVUVI7H7Nn1SHpnhYMZMM2ql93nEypu8BuG7NNWF54mD/f/OB4cAgXnt/siITVHlCvbVrxI6gZ/Ji0n2Cp3IF4E5khcN9Qf2tF02t901EqzGuBVSlQySkB076ntvWgx3dCWw+MFy14iOVLYjrSQM5tR95gUf9mdz3Zgsm/rRsT2C/+Pc1+9Dr6XdoZ4e+A1VpABCYytA1nMbn/rrOea/Nil39+Oyf1+Jdv3mx4u9YLSTtD1JwjEbpcGAwjX/7+fOBC6+tnSPKjtucFnJ11/HYxk688zcvYl37gG83GUDgZPMVNz+BJd96NPA8SOngvd8UpYMzdmztGsEV339SqRwkt+XKlA52W1k0taF49Qrn/5S+55Xmy3i9f/YPprG9e8SWxs910yGuOnGKe3w5aFLBPTeYyop+dOEUN9AoByy2d4/gyh88pUi9n9nag0sWtiEeCZUspSvjejr4+6dVe/qFv8R2Zzwqtumxpy+J+ZNqhXy9XIqFUDooKi33Ov3fmn3i701SyW9vPxrk6SArHQC7r97SOYKrf/R04HlQO6LFm3fnOJt3pdx2mqQ/veI7/9qIHzsLT1qQpqSNg0y+oFTUsPPFpR1ny8Jz27xBh4JQrgKu0gGwjVuDFtlBng4F08L6fYOYe+P9WL9vEIPFlA4B7/3z8r0i3bOYz4r8vTL5QqAa00vWGafKeSkMpfJ4YnO3Ug0iKKWuU+rXMh4jSdkHidrn3DZ34VtM6fC9h7fgxZ19IrAll9yd2mj/xn932mnEUOewlJIr34MbOoYcT4ci6RWaq1SmtkHKT5lK0ytkFUMsFJxe4Q0sKEaSAcEqGQpc7e1PitSGoBLLskLR0DTFa4ZeTteYgg75guqVQqar8UgIyWxeXJNSfTVd+w0dgyKATRW9jpsUrHSY2hhDIlvAUDqHkG4rHYoZSdL1tFjpwIwVb/6+N8r1vtuX46YHN4l/379uP5Z8+1ExwX3Vj5/BDbfZztbDAWUZ/7G2Q0j8t3a5A2ol0styQQc5siyqCUidlmlaeHZbD3773C4s3dGrGOIRI0LpYHcA33/zafjTB88FEKx0yBZMYUy0vXsEc1rjyuSjeyTj6yjlwYgGPe91dpUOOVx14hS89rTp+PlT25Wd17+v6cBbbl3qm3xTJ1OwLMVMbLM0gQkq/UYks7aRpKFrooMqVcFiIJktKSul5wxdE74X9vtyIiiyaf+Q2DWgdkELsv992xk4fnKdqnRw/pZdsOXgQPdwBou/8iAu+p8nlHPZ1jWCb/zzZXzKCTjJv42sdADs38bbmQZNKMnkc7ojB05l7UomyWwekxuiiIV1ZYKczNqDr+EJOsi7AJUuimkSGA0Hd4+pbAE1EUMsaOtiISyZ06zkLXt3rwB1IkOqnX+us+8XrywRAD511xr84UVbDt81nEba2a19yy9fwLfuf7ns95B/O5p0nPb1h3Hfmg6EDS0wOk+T62JmtDObapAtmB5XdEv5fzn2SNVUWmsjgb/Lqt0DAOx7ttREMpv3T9pTuYJo91Hn+9D3IJ8TQ9ekIKo7+UtlC/jrSn/Zva7hND511xp86I6VyuN0GYJyiimgJPOtf270vZfOf/mufudcR6+Ek3n05U7ceM867O1LYkOH7a0QpLKTf+OgKkBBrN83iJWOtNvL1q5hzG2Ni/uc5L8hQxMT7Q0dQx4/Gccg1lMr3bIs8Z5s3sQn/rRKpNzJ38d7zeTd6VqnD1iztx/buxNYJgUHcxUsaGSG03Zp3uPaatE1nCmZhtObyELTIMpeBuH1JuodyYp+ZMkcN+hw4fFtIpAmL5RJiWRZFh5cvz9wF9NWOthj78kz3P5Yvv7r9w1iW9cINu4fQiZvy437E1lMa7T7X3knvBQ0nwhS+azc3e/bvSs2/0jn7XGK5OvlUixITSm/jtrEabOasHrPAD775zV4aks3NncOiX7Ou4FC7/elV0iLEQpmeUvqAXZAWi6ZCfiDDolMXsyrgjwdUlkT967eh3tX22PDVE/Q4V2/eRFfu2+Dck66pimBPjt45Z13FhRlz1A6J6owhA090AMoKHhuWhaedsq7/mnZHuRNC62S0oGCBoqJoGmP3Z+/Zx3+7ee2QW6x39SrdJDnVcX6xmJpF156nM2ppTvcDYCg3XS5+lraYyQpBx3I/E+W+OtO0OE//rzW/dyA9B65VUx37jNKy5Mre4QNDfMn1WFnT1K5Zzd0DCKZK4j+DVDbmqa596zhtPdY2ChrJOn1aHA9HdzHopKRpBrsUo8lL/S9Kgiv0oHUInv7kuK5oN+7Tygd7O87R1KZ0LkOp+10W2qLuYI6jyimdJBTjwG1LeYKFnZ0j+DanzwrNoF3dCfQVhfxGXITlAq8fyCNkKFD07SiRpJ0GU3LwlCKlQ7MGAgKOsiT9q7hDPZI5mp2pC+H+9Z2+G5MmpgC9kA7mMrh3+9cjc86HZwqL6xADul06H98cXfgzpyidEi4cm3iq/dtEKW+3rxkVuBnUKCEyr/EwnZ+qaYFezoAQLMjBzUtexCTy/1QasW0RtUx9k1nzcRJ0xskQyS/0sGyLIxk7Cjil1+9GCFdwy1PuGqHA4NpW1Hhkf5RxNayoBjMbHSM0trqIqp5pmcHy7Ts3fiwoWF2Sxya5qoPtnYO+0zyTv/GI7jqB0/5ros4vpP2ICsJANWkr2MwjUVTGxDSNWzpHMa533kUCSfoMKUhhjktcWUQo7/V9Ar3e/SOZGFZfkM/+t70Wrl9nDO3RXltLGSIgZq4+aHNuPnBTfji39aJx+gzyAgo7ZRWNS07Oj25PqamV2QdpYM0AMbChhJ0KGbC6oUWPl6lw/buEWTzpm1aKSkd6qIhnDazSZHjBe3gdUoLjN6RLHb32ovBtroI0jlXQixf/x8/uhXD6RwuufkJLP7Kg3hxZx/2DaQqMlWUv+8HLzlO/P3Ypi7Mn1SnlH0jKDVJlJeS2seMphpXCSH1LcK4toLFsmVZitKhIRYODI6u3mv3c5lcAXnT7x5PvOkXz+OE/3pQeSydKwhDKTKMos8gpcO8tlo8ubkbl373CSUI8q/1+wMX3tSnkLs2QZMcOn4yV8DFC9pQHw0ppWoJOWhMgaagoEml9CeyRdM4bn1mB+5avhf3re0QSoeg30ieAD29pRtv/uVSvChNyoOgikTdAcqIrZ0jWDC5Xtx7JEEOG7roFzcfGFZ+dxoD0p4gQoc0+V/XPoB/rtuPL9zj9hO0QPL797jpFbQTSL8rGaIC9q43LTDUndngsZMMvsgbYU9vEg9tOKC8hu7eTN5EXUQ1t/Uel/qwP33wXMxoqsFgKocVu/rRWhsRqTqA3Re958K5AFQVwb2r9+H3S3dh5e5+fOQPq3DTA5vgZSAlBR2mN4rH5d+d+oqu4QzedusLWPyVBzGccf0EQhUqHSgIJKtJ7PPXsWp3v5Ia0lgTLh50yNlGoO5mQ+l7Yjjt7h7TNaYg6L+daftI/W3VPtxw2zJs7RzB6bObALi7pu5x7HZNY9rDGw5g2a4+Zfe9lDFxIlOQ8uih/J8YyeTdkoCe6hWAnZbTPewqKKc48xwaU/YPpvHkZrUMqa5pirSeDFxl0jl1t3cw6S6gz53Xgkdf7kS+YCqBSXmhRn8VTEsE0mintznuLpBojFDSKyxLeEvRb+W9jkGB93SuoJhZF/N6kfs16lce39TpK6EaVKZZVF+yLPzwkS3Y2jksPMPChqZcj75ENlDpIN+rtAi/Z1W7aIuyxw/Ns+X5Kc1l6XqTcpdUNnPbatEzkhGbMTOaapyS7VDUnN7qFfnA9Ar1Gnq7Or+nA71O2tiTSmaWVDrIQQfPc96g3ezWOHQN2Lh/2Jn32+OFNzjVJ6VXaJoa8KHPGEnbpUQj0qaD7EVCj9dQ0MFpi94SlZPr3TUGmUYC9hrtvrUd2No1HOjn8NyNl+OhT18iTGQ7BlOO0sG+jq6q2H0PXXf2dGDGjBx0oIkYdTiWZSGRySumeNSx/mVFO9a1D4jHDwymcc+qdjERGEnnA+WtgL0QqmQRQB3/l+9dj9f/zG+AJw86bjUBdxCQZWrF5OiPbuzCtMaYEpHVNA3RkI5MwE4lYJsAEobu1qDOSwY/kz1laua21eK841rFgOI1aMrkC0hmCzAt+/pMbYzhpOkNykJdDEqeayd3WHv7ktA1eweNpJqLptYrE6igKP5AMouwoSMWNjC9sUYoHa764dN4pSTVpI66WInAbN7EV/5ul7C8eEGb8pzXpK8hFsLctlps6RwRwRqa+Hml7fSdixlJFvPyoEGbFqyycmFmcw02f+sa8e9oWBcDNQBcf+YM9I5kccuT23HnMneHmXakj59sd+ipbEG0VXKK7hrKYOP+Idzxwm50D2dsTwfn1ClCLU9yy1UMuWvZHnzjHy+LQTkmTTSH0jlc8f2n8MW/vYRkNu8oHdygQ60nkOJt05ZlKT4k3cMZ0Y4pcOSWMXXf1zOSwU8e2+rkttrmYfb5lA+gkOnsfZ+4EFecMFl5LsjPAQAiznd+yy+X4pxvP4rLvvekeO6uD50nAhW7exO45kdPY29fUpEKB9E1nBYLs+7hDFK5gli0TW2M+e61ZDaPjfvt+yqTN1EoWJgspS3IOy7kck/3TMdAyq5c4HwPr0x134A9+M92JJm7epP46ePbxPFW7xlQzPYIOr73K3pT2VJO6s2slrgSzCDkKgo0B/MGR72GcYDfvI345j9fxht/vjRQzuuazabwcgmlg3z9n9rSjWU7+/C1fxRX0jy4/gA+c7cd5PYGvzL5Anb1JrBwSp1Y7NM9KO+Wbz4wrNZpJ6WISJewX7dJWjwFLVAzkocA9bmmaSGVc1NsSGlBizi5H3jbr17Aef/9mP2ZZvBiS2bYmcySAutjf1yFD9+xEmukgL381oaasDKp934Hun6T6+3ytYOpLFbu7sOZc5p9peu+cM0JiEcMpdTzbc/txFf+vgFbnUWNvNi0LAs/e2IbtnWNoLGGPB3qRD8t9/2UitU1nMaqPQPinGmBFXGq2pSq0FMw7cm0pvnHzzNnN2NDx5ASsD97bguyThlHL+lcAbGwgUnODvpjm4JLaxIULMjmTXQNZ3DJzU/gew/bvhGzPKU+M3kT5x/XCsCfTuStXkHKJllVII9vlrPwOWtOM244fw5G5PQK4emg/o7yRlJQeoV3nHI9HQri/PcPppWqVEG+EU1xdac0nSsoarThTF6Y1732tOnoGs5gc6d6Xwap1wqmJb4TqSmofXlfR1iWpahCAf8cicZduV3KXmJAsNze+x4KIr7v9hX42B9XKa/zpscBbt+9fFc/fvzYVvz7navROZSGrtlKy509I3jf7cvx+p89h+W7+hUD5nPmNeOyRZMURac8fzrjm4+gP5FV2sw3/vkyrr/lOSXVb6pnA40CpJl8AdGwgXlO+gapWuXNJtlI0qd08KVX+I0kvcEerymvvOFGxMK6OKbi6eDpH/Klgg4ez5uasIFpjTUiQH7tqdOQNy3cv05VT6dydpDAtGyfBHm8po8bzuRQFwtJ6wZV6UCP11J6BSkdPAt9OV0yb5oiSPyVv2/AJ+9cjVV7BgIVozOaarBoar0IWuwfTCNk2GokOb0iqCSmBYuDDhOBpmnXaJq2WdO0bZqm3XiozuNgsEMaRGiXd2vnCH74yBYhH5Z3bSnH7OX9Q3hxhysFpV22j7xiPgB78PMaKhK1UQPZvIlntnYHPk8ks3lFTmdZlrJDF+TpQDeod7JQExB0WLGrD8t29uGDFx/nG3xjYQNbOocDZciyJDVkaEKqWJCCDlOlDgGwJ0i2u76z++jL8zXFpIKkS621UWXniKS88gKqdySjDMR/WdmOKxZPEceojRiY0VSj5CjKUnrqVwZTORFhnddWi109Cbd8p7TjErRDSnQNpfG5v64V1+ziBZOU570+EdGQgYVT6vCSJIOm4FAkpAcaScqDiOx+XUx6Te2BFqSyQVTI0BENGaID9SodLpjfhns+eoH4N11Dauvk/ZHOuRK4mrCByQ1RdA2n8aNHt+C//s+uMiGXzKRzWTjZnSAMpnJFTZTW7B3AX1a24/bndwpXellaR23kvrX7kBRGkk56RTSklCuja2KalpjUDiRzysSoZyQjfnOK1NPkSj7S4mkN+NUzO8W/n3N8IYbTfmmvl6F0Hm11UZw6s8k3AQ0qlwkAUxvte2pr1wimSYP5re86C7Na4mLy/fV/vIxNB4bx0IYDSsnFoMXvHUt34yN/WIlkNo/dTtv+9nUnY9M3r8Hk+qhP6bCufVAch8q8yTsO3mAi4LaXC5xKAHJgDXDv5339KUxriinBqE2eyfDrT5+u/LtgupME78SJ/iUbIcYjBmYXCToE5TGXUjqUqz/fk8hi30AKz3rytwF3cfPijj4R7MgEBIaClCaldrU/8gc3xcQbdNjRnYBpAcdPqZcW/a7SgfAubjJC6UDpFabv+PS3rmlYubsfN9y2DA87hnByecC+ZBYF0xK7TBT8oHvYaxAG2OOe3HaLpSYOp+0yg9Ob7PYoFvsd7mJf3o2tj4WU4965bC+uv+U5sfihzYZJ9VE01oSxvTuBXb1JJbVCJmzovt15wPXskBf17f0pfPche+FN97+ha9jyrVdB0+zfuGsojbO++YjwMeoayghJsPw+qoxQMC088nInPnP3Gt85fOJP9gJvSn3M99x5x7Uib1qiL4sYOk6fZasu0gEpKpmcnR5zzrwWXDC/FXcv96c8yciqrpc7hrCnLykk0BFDx90fOk95/WUnTBYmw0Q27xqteu831STa/dtONQMuP2Ey2uqiyBZMka5JmyLenWM5nSsXYCTprXxDfXJKBB3s/8veU97PACACK8RAMufzWaD0Ckpn9Xo2yYE4CjiZliV2humelMeXgmTgKR4zLSVIYisGvb5XeewfTPnSQuQ2HZQKAaj9VXt/sqgiguYw8qKd5tv3rbX9FHb0JNDen0JbXRTxSAir9gzg8U1dWLt3ADe+6gT812tOFO89fnI9fvvecxRfBTndYCCZw5q9A6LN3P2h8/D5axb5zKanewLdXqXDPGc3nVLL5PMv5ukgV6+gRXaQkaTP06FIeoX8OlnpoCq51GOZStBBfc6rdAgbOmY012D9PrsvvXLxFNTHQsrGJtGXzDpGkrYpPfVZ9H2H03nURd2gg9dIks457lU6REsoHfJWoMK0VLlMOq9s3nRKZtrpFUHjC93Dacd0voHTK8YPTdMMAD8D8CoAJwJ4m6ZpJ5Z+15GLvBCkhvX//rIWP35sq4hqD6ZyklTUhK7Zg+Xvl+4S76Wdb1qIDWfyyuIWcHOSSNJKqQ9eSHHRM6JWUbj5oc24+OYnhLw2H5CuIaSwnslCTUAO/C1PbkdzPIy3nuNPvYiGdDy1pdsXWQVUpUNYd8vz5AomOofSMHQNLbVq0KEpbsupKOfcu6uXyhXEYo0Wwa11EcXQp8/p7F13aRNnfetR3O6UG6Tj/MfVCxF3IsyzWuKOIY19PSzLUnKdabdoMJUTE+95bbXY0ZMI3H3fKk06FDm2ZeGTd63G39e4kd/F09Qd6929SURCurimNREDCybXKyVGaTEQMXSPzNBJSym4EwJaCDfWhJVdAnlQp9fQAi/Io4FMgryeDmFDw/GT6/C9N50GwK1Csm8ghYZYSOxSdQ2nlbSHSXVRdA1nkJJ+49qIIQJbFNy58sQpWPblK8REoWckg2Q2r3iPWJaFN/zsOazc3Q/TgnA6t6Tv6bYLywk6hFwH62hIKVcG2MqM257biSXfehS7exNKagVgt6Eep91RTiLtNsrBuU9efrzvWkYMvaJUETtn177W3p2ooHKZADC7xR1AP+oENwEg7HxXar+0yH1+e68yMc06Hi33rGwX99B+J2Wpezgj+sK5rbWIOS7g3gF4tTQhy+RN5AuWshAKGrC3d48oE8+asBp0oMXEvoEUZjTViHSNoB3CSfVqv5LJu+VuC6aag00TcTk4UBMxMKulBu39KV9gVpYU0yRIPl6+YCpVEb51/8u47pbn8PE/qTt2BKki/rzCvyijfp36kxlNNYEBG7pucipSUKncvoS/xKB3EkaftXBKnas2CrueDvKxOpTqFfZ5uekVlu/4FGDXNQ33rGrH0u29uPqkKcJY1m4rpquEc35Hr9IhyEunvT+ljHVB7uKAk14RDfsWCbIiUd5Ra6gJK2Zq3/zny1i1Z0DklHePZBAN6WiIhdAUD4vxYMnc4KBDJBTsjE/jzbYu9z6QF4+y/F3TNEQMHZmCiWe29qA3kcWTm+0FetdwWgkOyUaD9N1+9cwO3Lt6ny/A+MB6W800o9mvFLpi8WRlYXr+/FYRtPemopFiIhay+/N5bbVlSzePZPLCoHn1nn7luZCu4dzjWvH1150kHjthaj1OntGItdLvJgcTvGqjvoTkpSU9R+ceDelCmr167wBqIwamN1LQQT1XebEVpHTwBh3ISLJjIIW5N94v+n45pShoDrVgsir73tEz4qv+QMEGGi8zOdOnNPBSMP1BGTnlIKjShGmpqVj7BlK+lJlktoCP/3EV9vTZc5i3nzsbgOq7UUyBJJ9ze39KmUPJUKD/jWfNFI91OvNqUolm87anxtTGmLLx8MIXr8BHXjG/pNkg4F+0r2sfFN91TmstPnLJfN975PEtFtZFgJS8aaiPo8DN7Na4uOZyv636MbjKspBUItLn6VAmvcKy7DSyzVLQKCZ5Osjft5TSwdtfeFPHw4aGWc1xcX5tdVFcumiyCELI9I1kUTDdudL7L5rnnKuTXuGkUFNpzFzBVPp3ai81EQOZvOnznSMapT4rZ5qByvJS5TJpTQLArV4hKR2C7mG6Lqx0GF/OAbDNsqwdlmVlAdwF4PWH6FwmlJFMHl3DGdFRUcOiG1jetaAJVs4p+XbF4smKjJp2zkhyPpLO+xYzp8y0dw+8cm8v1E10j2QUF9lfP7MDgC0BK5hW4M6lKOnkGTTk3UPAzl17fFMX3nfhPCUaS8TCBiwLuMizWw8ALXFV6UA7ybbSwd6N8Q60zfGIuM5B5eE2Hxh2y3eKoEMU/cmsWFxSZ+861fo7vNeeOh0nTG0QUdFZLXHUSLW79w2klECGEnRwcsznttViOJ3HCsmjgxbrsrGlLMG7d/U+vCApXwB7EHmbFNDZ1ZvAjKYa8fvHQrriWA64O/gRJ72FINXD2r0DwhRyJJNzPCBURYhspknXlCariYDdXHK39iodqEOm57tH7Pbc3p/CzOY4TpnRiJCuYfmufnF+0ZCOyQ0xDKfzyv0Tj7pGkvLEeXJ9TDgc94xkcdMDm/Dvd64WO0VemSepjn7+5HZc75heyd/dNq1Uc5NDnsaYzhXwgrOw2NAx5FMkZXKmcLef5ygd6P6Xj7Rgij84cOWJkytSOpAUnM5RZnFA5QrA9dCwP9sdTMmQMeIJrry4o1e5fj0jGTzycif+4y9rcbNjjkuLQNu7JmlLIp3P8aptANvlfl5brV1DO1dA3lSDDtT/KDXMuxNKAJbauFdKvq8/hRlNcaH2aa2N4PzjWpUB3qvYSmUL4v2DqRxO+K8H8aCzwKLH6TtQ25jdEkcmb/o8D1RTNFuuLt+D+wfTeNuvXhD//v3S3djblxSLQi80QXtkQ6dyLxRMSwlMhQ0NJ89oKKlqkD1yvNLXRCaPi//ncfx5xV6lDXi/39bOYRi6vVCkCaEwkgyYjBN0Xl6lQ4+yULHHv2TOdhuf0hjFD958Oq5c7FZ22Lh/WNy/tNNMYw89HuQhtK59UJkgf+j3K7DpgL/v73fy4L2phBvlHXOpPTfEQkpKwjlzW6BrwCf+tBq7exPoGkpjckMUmqaJRXkkpOPkGY2+zwb89x+xft8g6mMhmJYrLx9Mub9/kyfoSME+7zyhcyijLIIpWEmT966hjKjSI9/3crv2ei0B9m/wIcdXZnJ9FLe/92xxnyWzBaza0y+uE1UlomtcFw0Fjikyw+kcjmurQ0MshNUebyoKmFJK2XFtdsDztJmN2NAxJMZ+uU/1+g147y2C+nXZf2L1ngEcP6VetH/vIk7euS+Yli8QuL1bXTBTwN5bjUImSOkQ88zHtnclfIt28iJwq/yYZdMrZKUDIStThfGgqb5HXmSOpPO+zYndvUmhALhgfitOc+ay8vXKFkx89s9r8DtpEwhw+zBdA37x1Ha86sfPiOfk+693JIOGWAivPGmqSC25e8VePLzhAAZTOVy6aBJOdFSAUxpiIjjdWhvxpUAUw9vPvbRvUHxX8p2ieeqbzpqJW991ltKfLJxSj2S2gGQ2L5QOdkpuTKRXREI6TnJSOpSgg5JeEezp4DeS9KZXqOdfMC18458v43N/XSsei4UNMcaqQQf1WlBZS/pbxh900JX5R1M87EsLJfqStncLHfsDFx+nfD6lJ+i6ndKQ9ygdqL3Q5iwFo7wL/caaMDZ98xpctmgSMjlTUaQTpZQOmqaJTQylekWgkaT9ZTjoMDHMACBvzbQ7jx110M7eImfx4A5E9vNyfiY16FzBRDikY7FHAr27N4FYWBcTdq8XBACcMoOCDsH+CgTtvnQPZ5QFZK5g4cRpDdjQMYSbH9oUWEKNJiXegcc7Efv+I1tQFw3h3efPDTwH6tDlqDOhKB0MV+lAng5TGmI+26HGmrA4ZjZvIutRYqze2y8m4jTgtNVFYFluNN01GrKP7i2fGQ3p+PSVC+zv68jrZzXHEQ8byDsybJpM00Kv0QmgDKbyktLBXgQ/sdmtaU9BJbkzpt3AwWQO375/oy+KrmkavnPdKfjNDUsA2JOGGU01ojONhQ2xA+RF3mXuGk4LKS7g7jYPp/Ooi4XsNBTJ00GeCNAuFC3wgvwsWmtdpUOdonSwrwd1zLTwbu9PYmZzDWoiBk6Z2YjlO/uEciUS0sXr5QBNbcQQpl0U3CHanNf3SAZdZMDnVQvJrGsfRNdwWpHE9idziEcMdDvvm91a4zNlTOUKYrIo+zcQmbyJ3kQGjTVhnDmnCTVhA49u7BTPEbKXwdQG24Nk8dQGxXiyGMPpnGjn8u5MUzys5CrKyPewLO+jibt3lyeRLWDFrn4RNNrZkxAD/23P7QLgLoK6hzPY1ZvEjCb3enmVDpZlYfWefpwxuwnRsC52FZtrI6Ltp3IFPLaxU9kp7xnJCh8Q+TyjUhAymzfROZzGjGZX6RANGfj+m0/DL995lnivN3iazpuiJBvh/a0oNz2dM1ETcRU6cqrU5gPDSjCSzkteBHt34SOGjq+89iQUI5Ur4LhJtcgWTFFuDXAXUPT7z59Uh7poWGlblmUhVzBFXyfv3qdz9g7sYxs78cNHtmD/YAqJbAErd/crVV18SodOu9qQbLwXl4wk7f/bv+NL+wbEa8hcmc4vX7Dwj7Ud+N1SV1pL5oQ9w1mksgXEw/Zx5S5x44EhsRtFgSoy7vXuIMusax8QNeW/cM0J2N49gut+9rzPpJOCBDKnzGhE15BdXeZHj24RwUTAvofofrj+zBm4/X1ni775jqW70TWcEb4FtMA/dUajcv1kvGlchGkBV584FYA7ZsiL6EZPelXEMYb0Tn6pSo54n0fp8OCG/b6ydIAaHA/aiw4bmjCHtn0fNLEoXrqjF9ff8jx+9/wudA2ncf5/2ylStKiJR0I+E8Q/vbgH35PGK1pkLJhSjzUe6ToFTM6Z14JHP3sJ/vWpiwEA0xprkJV2OeUgHS3MaLEmz9N++vYzxN9uKp4bTN/Tl1RUBt54gLJzX7B8QTA5QB0xdNEfyde41tNHeVNXAdWTqD4WwvbuEV8QgYIOQungCToEbToVHM8UmTapekWQ0qFgqkEH8teSWb7bnWtFQ7oYi+Rrv3JXP/62ap9vXpYtWIg4GyydQ2m8ZcksnOoELeSqZY9u7MLctlpMqo9i9VeuFu/fdGAY/cksmuMRnD+/VXwnug+96rdSeOdoL+1z0yuoL6R2NbetFlefNFVRgS1wUkJ7R7LISlV45k2qFUqoiOEGHeTAoTe9gn5vQwo6eBXAPqWDZ1VoWha6h9OKQica0sV5ypuWQUaS1O97n0tmC4pBdMjQFP+VxpowLl00KdD3oC+REZ4O8vem9jripFcAdt/jrV5B/R7dWzTv9wZcmpwAc200hHSuEBh08HrGeKG5Z8hwlA6mX63507efIfoJ2miu96gujhYOWyNJTdM+pGnaCk3TVnR3l/YlOBy5Z2U7vv/wZtFJ0G5zc20Yuga887w5ANQIOgUQsgX7Rm3wRLp29yYxtSGGsKHbzq6ZvC9vmD5HXgT1J7K45kdP4wcPu4M0jQc9IxlfbtV1Z8zAGbOb8MundgSW5sub9mQ1mVMXl97O4ekt3XjHebN9Ex4iFrZz/a+WapATLbXue0K66+mQL1DQIerrLJtrI+J7Zz2D5wlT67F276AY+EhGRYvh3kQGlmWJzocWdC96BrdlX7pSlLzc5uxInD67SXT8I5k81rYPiJ1FwO64ANvYz/V0sI+xSiqzSD4N8uBMC6nHNnWiN5HFu5x2AwD3fPR8APaEg+R3gL1bTUGnmoiBuW21ymSVou7RkCE6v4fWqw7sdrvI2uXWasJorYsong77BtLiGtGASr9RIpPHKxZOwiOfuUS8vlUoHXSlLBEtZkXQYcSOYO/rT4ng2jlzW7Cu3f3toiFDLChkJVA8EhKTL28QgBbFPSMZ0ZnTew8MugNJkC/Jsp19vsViPBLCfmdxM6e1Vpk0AHZgjiYYL+0bVEpwAfakqzeRRWttBPFICJefMBkPv9wJy1Ll+/K1+vUNS/CbG84WEfByKRZDqZwSOHjVyVPx9nNn40dvOT1wkkrMbY1j4ZQ6ZfHtLhj9Q0betPCKhfaOxK7ehJAmF0zLMdB0lA5DaezpTShttakmgkzeFP3g7t4kekayOHN2M2IhQ7TVsKGLRUt/Mof3/26Fogjod7wN3O/upPw4RpK5vCkq08xsqhGTyWhYx/SmGlxwvGvI6l3wpXMFsTD3kpFUFzQRr40YYiJC/fO69gG85daliswdsIO8sgze2583xcNichlEKlvAGbOasWByHR7f3A3TtPDE5i7RXt941ixceHwr3n/RPETDqrLpDy/sxnnfeQwppx/37lAPpXL48WNb8bMntmGfk/KxuXNYuT7eoPSWrmGx4KIdRtqJo3ukrS6KtrqIUurXu9jJFkz8+52rlWOTb0dvIoNENi8WrfLipT+RVXwSAHtSPqfExPC0mbbMnialbztnFu77xEUomBZ+8thW8bp0roChdF5R3QDABce3oms4g7+s2IsfPbpVKcfXUBMWE+G3nTMb8UgIv3iXHeDqS9pVCihvmBb4ZxXxcwDc+y9oIn71SfY4SgthuW9s8iidKNjn3W3uGsooHgNeTwdKPQPUFBz53lsckLoVMXRxDjTmxEKknrDb1vcf3oKl291rR4tOGstI7bC1cxhfuvcl/PSJbUIVMOIExxdMrlN8iAA3AK1pGo6fXO8qKDz9qNyfUh9M44GsvHzNqdPxu/edA8ANqNaEVQWfvPNfytOhYFqBnhZES21EnIPsfXWux6+BmsPvnfMC7OtHjy+YXIfdfUll4aVpQJPzvdwy4wVFeZHzpEjQOXs3nGRZf6Hgej+477WDDnRPpnOmT70iz+ciIdcziean8Ygh0kS9wTJSBNzz0Quw4j+vwv+88VS8yammRr/rc9t6sG8ghf939SIA6j00tTGGAUfFJJTEmbwIfE1pqEzlYB9XHSM7hzLY1ZtATdiQFsn2/2nRLY+rpDDsTWSRcb4XoFZpiIR0nDKzCYB6b6vVKzTR99DxayJ62epIpBalTU/TUyYesNsWPb+ly1V5BZXMpPM3TeCvK9uV5+WAiVfp0ByPoCkeCewP+xI5UTITsO9tTfOmVzjlYHXb500OoFGJVTnNnL6rjJzCksjmhQrLvga6soFSDBovDOHpoCod3nPBXLzm1OliTkbz3IYaDjqMJ/sAyEn+M53HBJZl3WpZ1hLLspZMmuSX3x/urO8YxM+f3I7nt9uSuBsusBeLX3nNSVjxn1fhMkc21KukV9gNOlewOxrvYn1PX1J0fvWxEAZTOSzf2YeLpAnzuce1YG5rXOyeAHYUd9OBYfxEcmmXlQ5emVPI0PDjt9jR/GKO/+mcP1JteAbXSEgXuVZBvHnJLHzp1YsDq140K+kVuuJC2zmUCRwEmhwjScCfXnH23BaMZPJiF0T2dADsqPJQKi8G5VzB3rlcvqsPZzrltQB1x4gCFJcsaEOzEyQZSGaxbu8gFk9rEJ0tdVzZgik6qJnNNTB0DYlsQSwsDwyl8cTmLty5bA9mNtcgYuhodyZztBsyX9pBmdXsTqTlgW5GU41Y8MZCOsKGruSd0XMkbbcsS1QBkNnWNYKBVBZN8TDa6qLKrt8Nty3D+25fDsANOuRNeze5ZySLk2c0KKkBrcLTwVDqD4edQbi1NgpD1/A/D2yy8z2zBcx0vt/Zc1uQLZhY7sh6o2FdMfghaqOGaINeGTLtxPQmsmKy+aund6A/kVX8Lk6f5Tdd3NWTUHYv7WtoiAF2bmutCLgQqVxBTOj/urIddy3bo8jlMnkTvSMZ0f7Om9+K7uEM9vallEmBHBxYMKUOUxtj4vqVS7HwOiD//J1n4TvXnYJLFwVLFonH/uNSPPCpS8SiAHCvp3enlSYe58xrRk3YwM6ehGIQtn8wLRY/3SN2esVsaQF4tpO7/uJOe7FBKSnnHddqKx1E0EFTApGAqlDpS6pKB0KUzCyYaHfk+TOaa9wUo4AJg0/pkCv4JrmkYKM+JlcwleoqM5pqoGl2n723L4l337YMddEQ/vLhC5TjJDN5Veng6W+b4xGRfuMlmbXLidVEdExzyi0+vbUb7/3tcnz+r3ZZyfPnt+KPHzgPb1oyy87jz7u+M79fuhu9iazwUZnWqObiv7x/SKQdPOoYNm7pHEZEagPJrNvO73hhN3Z0J0Tgm6Zv7u6em1fs9RTJeqoY5QuW77ehRVeuYKFnJIu4M27IC+f+ZA5dwxlfCsQJRdKJAODUmU14qX1QcRSf1RLHm5bMxD2r9gkvG1J10MLpjx84F998/UmY0VSDgmnhlie3+45dHwsJHwxaPF54fBvOntuM9v4UuoYzQjlB/U6poAONb/L4SMe+0JkHfObutRhK50T1GvvY6uvDhj0R9wYdMnlVUdAgJu72b762fRDzHTkxlW0GXHXFL955Fj4secHIn0fnIOdTA+6icjiTF2l9gKt0oIUJlbGWlQD3rtoH07QwkrUXGcd7fAwA+Ppmol7aKJD/31gTxsb9w/ZuvKMk+vOHz1feS0GI/QOu6bC8gKopInkH1J1hu2SmfxFISobWOnsjJaRrynzrnHktSl9Mn3HJwkmY1VLjnIMuHp/SEEM2bypjhnxPRIps1iglD0UFH6tk2VCaWyqVC0w7EEzz0oFU1rdABVwFQEjXxO9PAWk5gJ4vmFi/b1DZJIqE7N+Arr339yWl1GnOYl3Gsux0tKZ4WDx/2sxGUc2pmDIwCO/CFbDHNbl90C9HaS1hqY2SMrV3JGMrHZxzkMtyhg0d154yDb973znKPMtbgpHUJkLpEDKcILrr3eFXOtivfeBTF2PRlHqYpt/0MRbWhZ+YHIAKVDpIJVRvlModA2pqSNjQRGDlnLktoq/7znWn4DvXnaK8ry+RgWlaiopId0waC6aFkYyrdAgZ9nVQgg7Cx4hMhu0+xZt+5AYdbM82ue/56dvOxHM3Xo5yUNAhLEpmqkoH9T7m9IqJYjmABZqmzdM0LQLgrQDuO0TnMiG8/6J5yJsW7ly2F9MbYzh1ZhN23XQtzpnXgpbaiMiRDvR0KJgIGZrPvXT/YFrsRtVFQ3hhRy+GM3m85tRp4jUzm+N48nOXKQ1WlsXTzUY3YPdwRpHKA3aHP7s1jvOPa/XlaBGpXEFMAgjv7umbl8wMXBwS7zxvDt52zuzA51rk6hW6JgajRKaAwVTOF3SIGDriEcMzeLrnd/a8FgDA0041D7o+dI1/+fQOPLnFTXXI5E2saR/AYCqHq0+aGniOv3r3EnzqigVociKyAPD5v67D0h29OHVmo5h0y/n01MGEDR2znKjuoqn1MHQNnYNpvPe3y5ErWGiKhzG9KSYWUjR4yOqXqDSppp18wF5U0efQayh6fvO/nYrrzrAzmWTpuWyERmztGrGVDvEIWmsjPhnoM1vtgBrtJGTyJvb2J1EwLZ+5ziRSOoR1dQc95O7cvfHMmRjJ5PG8s9tFUe+z57ZA09zPsz0d/JOAeCQkpIFe5QHJX7uHM6LD39OXxM0PbfJ5AXxFcqcGgJ09SUXiCUCYiAK2SZuvekXWVOTHHYNppbRTNm+idyQr2vlZs+2Fxso9fUV3Imjy4VU6PPDSflx40+PY2ZNQ8ldtI8nqo+WGkwcpm2NGnMV72JNecYEjRZ3bWou5bbXY0Z1Q6qrLpQQ7h+xULnkX8NSZTYhHDLHD+eLOPrTVRTF/Uq1QcwH2wmG2Z7f6lnecif939UKcM7dFKB2a4mF89bUnin5F7g/oXpohKR2CZcnqd0znTJ9rOqVByOkVFGypiYQQCxuY2hDD3r4Ufr90F5KZAv7w/nMxu1X9Dqv3Dij91K5ev9JBD9jVBoATv/IQBlM5xCMh1MdCGEnnhEfMSkdBJfc90bBtQDqQzGJDx5AwW6PAN1VkoL7kLyvcXSlyEE/nTF8VGxq3qIqMN6BAE0u5T/L6zGTyBfzkMTconswWxOKFlB6ZvCmO1TmUFv2IvEPdn8gikc37XMhpMRokkz51ZiMS2YJQXtAi9fozZyKbN8W1JP8KGtMuPL4N7zp/rlIWzSt7t9Mr7O8hB0FmNcexo3vE3v11FmLnzGvBZYsmCXl3EBS0lu8hADhxeoPynV/c0adcF2+6JSkdglLhAODDrzgOv33P2WLiL/cF159pp0O+/Vcvit+edu8vXTTJUSWp/U7IcD0r8p4gDE2yr5XmMYCbHkC/Oe2M0zm31UVx7+p9GM7kYVn2IjMo6FDMB4OCz256hX0en71qIfYNpPDzJ7ejYFp485JZvvuWvgspgEi1SciLKe/H+5QOAR4jlOpEwXqvAq+xJozb3nM2rlxsB5DluIqrJHF31qndkzLp7efOxu3vPVu8x1U6qPMmOYWP7seCo8bzjnm/eOeZ4jsBqh9EwbIwlMqJxTsFC7y/zaWLJonPpfuF0lEaa8KojRg4fnIdOocyeM3/PovPOz4D2bzpOx+6Hyitqr0/ifpoSJgry1A7bo5HcOL0Bjz5/y7F+y6cJ/w+vKnOpZCDNppm/9c5lEGddA/SsEPrAJqvaJqdCgfYG2GZfEHcg2rQwR6jX7FQ3ZD1jhW+kpkR29PhzG8+gjO+8TCA0p4O5Asx5NngiIYMtNZF8fXXnYSfveNM8XiQkST9LkPpnG9RXyt5vYUNHVMbY/j9+87B7e9z2+bxk+twzjw1EGsrHSxFraJrdjujfoLux7CTSiYHHeg3ikvpFZGQjlRWNUWnTcZ4xMBwOq8EC8r55hE0PhiOp0O2YCrrKlkpoWsaBx0mAsuy8gA+AeAhABsB/NmyrA2H4lwmipnNbnm5mQHSTnquT4ogUr5Q3kmv8Jq/AcAUJ+hQGw2JCeoVkpEWId8QcjnGjFQXO+44t8pu6YC7ay7n3nvn5pmcv+SR3AHUhA189FK/836lyAGXkOEugPY5Eltv0KExHrZduaUSeXIHsWByHRprwtjWNQJNg+R5YL/+6S3dyi7Ljx7dgutvsU0Eg9I/AOCqE6fgM1ctBODufKxwJqinzWzy1ToH1A6GBpFJ9VFMro+K6iT0nulNNWIHiVxu5Y5IdlaW1QMzm+Pit6DJyjUnT8WViyfjzWfPEgMTDfgDyVxgvvO2LntSbKdXFI/006QtkzNFOTqvuY5QOnik6/L1eM1p9qST6nnTIr0xHsaiKfViARsNGWiJR3yGTfGIIQbMIMlbW10EPSMZZXcvkSkoeekhQ8f1Z85UpOa7ehO+SH88YuCej16AH7z5NGia5q9ekStgKJ3DabOaxHlObohh7VeuFp4gBwbT4rosmlqP2oiB57f1wrLs6/erdy/xfQfA/a2HUjnkCyZuetBWh1z2vSeFj0LO8Qqor3BgLAelKUQ93/P1p0/HKTMasXh6AxZNqcPmA8PKzofsJL+7N2EvDqS2GgnpWDK3RQSa9g2kMH+SbUIYCxvCrDZkaPjuG0/Dp65YIN57yswmfOLyBZjUELWVDgMpzGmJ470XzhP9gFA+5U0hAZ/W5BqEBS3nK1E69IxkMZx2S7BmCqaY0NPCc1ZzHHv7bHO0U2Y2Ym6bek/UhA08t61HWXTs9ng6UIrRf167WDxmeUzZYmED9dEQRjJ5rNrTj5OmN4hAtLzIpnvv9G88gntWuQEFCnxPdZQOpDC6/6X9SioM4b0W3SO2+eDUhhhaaiN41cmexSNVr3DGlVhYFylqxMsdQ7jtuZ3i+Z6RDAqmhR+/9XT8u1TBhVI3+hJZN+gg3c99SVuSHPUEjmjc1ADfgpjKz61y2ir1nRQUdtODVKWDOHYDeTKE8Zaz1SB6Q01ITDDldjWzuUYEbyiAOn9SHX773nOU+8ML9dktnqDDyU5g5suvtttJ70hGLBQuXTQJUz3jZdiwU22oL5zRVIPXnuaWip3ZHBdqTPv17p1CQZFM3sQPHrFTNguexU1rXVRZUMrpUQS1C5Juf9Axg/M+T2M1nSv9/13nzcG+gRSe2GRvFpCngxevvw9RV0Tp8OpTpuGKEybjlie2i+N6oet/YChY6SAbZ3sDm95qDPIin/qOc5xNkmtPsTc8vKaQ0ZCOixdMEmlc8meIoIMk56fAFhkiv/606cocivqGTN7EUMpVyMkLNVowmqaFZDYvdqWpSsc1J09D2HArJsgL0EQmj2zBLX1Mc9JWabOkOR4WbS6bd4MOtCn2qSsX4PtvPg0ttRG8vH/IOa5b8c075tP89YO/X4H9gyns7U9hZktcuVafe6WdauEt/Tm3rRa6ruHjlx2P71x3Cm4o4ksWhPx7hnVdBBHk9kG/CwV7KOjQWBMW/YtIr3D6Mnn8KBZIU9IrdLlkJvW9tkJzJJNXqrDIyIplQ9fQn8z51BA097zhgrni+wHBRpLU73vnUIC6eUPneMnCST7jeVnJG9I1x9PBn05iWpZI+1KDDsFGkhR06E1kRWABgOSz468QQlQaFKD+PeQEirzKJnnuqGkQCjX2dBhnLMv6l2VZCy3Lmm9Z1rcP1XlMJDSoeb0ZALeTpwnf9MaYCDqQDD9ol5ImD3TsRVPqA3dvPnnFArzJMWiUnffTOXcHiW5sbwUMmjjIN5U3AJLKFXw7snI/+OcPn6/s7FZDTdhQdoXCui7OiRYOXrlbs+T8DfhzhMOGLiaXdZGQWHhHA1I7ACj5xvM8i4UgvBOq02Y1BSodZCM+GkRaHGdkmsAA9gR9RlON+L7UScrBmGIDz4zmGtEZ03V8zanT8esbzlZeR+eyek9/oKLFVTqElcmBF1oAZfIF7HBybL2LCmqj3s5bnszSoExloeT0EZqE0XnruuaTDAMoE3SIomcko+zudQ9nlB1BubwRsbs3gaFUTpEu1oRDOGtOs9j1C3sCIOlcASOZvCiFBwBT6qNojIfFvTucyYsdS0PXcPrsJqHmuOH8ubjKCXb99r1n4xuvd80E6Xjf/tdGfPFvL4lSXwDw7NZuvLCjF1f/8GkA4xctp4m7N7hy6swm/OPfL0JDLIxFUxtwYCitBM/IkHROa1wEpOo853TB/FZs7RpB93DG9qFw7pdoyE2vCOk6mmsjSjCLrmNLPII+R+ngLdcnp1vt609hcr1tDhaU0kV4n0tK1Svs72wblK3Z6/oAZPMmvvfQFtTHQqKtzmqJY0fPCF7aN4gzpLrqxLnHteC5bT3KJFX+Ld99/hx89TX27/6Bi4/DRy+1ZevpnIlP3+X6HVA++XA6j5f2DeL0WU34/ptPw10fOk/pu+SF+F9WtCuTW8BdPMiTyNedNl0JeNAcb0ZTDX70ltMB2Ol7J/zXgzgwlMYrT5rq8xugf9LEuiZs+DwGHpA8ZeSyZQun1CuBSjm9jAKq1A4aa8IYSNrma17D0ynOdx1O5xXjr2jIDoDURgyRSigvnA1dE+2Z8nm94y3tSr/prJlCLULISoe41K7kdlpKDeiF7sMWqT9+y5JZoh961/l2GmfPiH0vtdZGcPt7z/Hdt5GQvfs3krENb5+78XJ85ko3oOdV+8gpCnLq5stOdaecqRrWtdZGlFREO71C/c2pv++T2p+sZop60itogUmbHdefOQPxiCHKitfHwpjeGPOpTYqmV5DSIZ13DGwHxONfvnax2AH2qmYAexyLhHTsdzZsoiEDdZGQ8jzhS69wxstISPcZSVLfeOXiKVj2pStEEMurdKD2TeOcHhB0iEplDV3PJHuO6VUCRsW8qYA9fUkc5/QbslpBTq9I5Qporo3g+286DXd9yE09MXTXR0De1aYF52SP0uE9F8zFZ65ciL997AL85SMXKGajIr0imYWu2Z5EFNggRLncgv+el8e+e1a2o70/KQKJxLud+6VLBB08wbwZjXj7ubOLqs2CUJQrmm0MC3gNHz2eDrobTIxHQohHDCm9wn5Onk8XK9spn6YGzXdfBo173oCCN2Wh3+NnVew49rE8SgfH4BOATy0KqPeWdw4lIwdC2uqi6E/kULD86RWW5SrfaBwpZSRJAd6uoTRqpAo0VKmE5u41AdX3KlU6UH8ZcjwdvFX15HRF+XnZsPlo4uj8VocJNPAENU66Eane/bxJtWJSY3s6aIFKB9qBpQ61mBQzFjZwwwVzAahKh3SuIAYFklx6a89SByXvktJgQANBkKeDPPAV212ohNpoSOlUKUIIuEEH784NlQSTdzZll96woeE0Z+JvSDe5d0fMy5WLJ5c03ROf78k3nz+pTnTA9bGQ6BzlxTAN7K21EUxtiClmg+lcATOaa9DlpAPkPZ0k4N9Beed59gRlSn1UGmSKfz+6Vsulsp0yL3cMIpUroCkeUdI3ZIbSOWxydh0yeRMbOoYwpSHqa7tnzW7G//zbKbhgfpvyuBw4oQFo04FhnwzyFKmEHP1m1H6vXDwFZ8xuwry2WvG9gwIydtAhi2S2gDNnN+H6M2dgV29CUT7QZIzGzvpYyK6MMJBSFhteubJP6ZAtCAdlmsjQzpIc6JJl0mfNbhb+EvIE47JFk5UKMBQA2tAxhL+sbFd2PZ/Y3I233vqCWECNlxlRkAP14//xCuU1VJJuzd4BtNRGoGluydmTZzSKxa13En++Y4q2dEev4kMRCxtSeoXm+z60uGiujWAgmUN7X8oX6FTSK6SgRKn73jvBT2bzyu4+BS+fkspYPretB0t39OIL15wg1CuzWuzd7Gze9KUTAMCF89uwvTuhBBoyeRNXLp6CO95/Dr7x+pOVhRtdl4dfPoAnpM+ucSrCJLMFDKfzWDTVXqif5zGbk7/zSCaPd5xr9xd9Tvrd1MYYTphaL4JdAPDKk6biAxfbUvufvO0MYcj4hjOm46IF9r28XvKDkfsb+s285q6xsKH8joauKYFA+p6GruE4J82GkOXzNL7e/MZT8Y3Xn4QL5reiL5FVJuoElc9M5QqKWVl9LARD10SJSl1zJcqGrmFyfVTck1s67X5pUp1X6RDDr9+9BJ+5aqEv+FxfJL1isjR+VeOMH5Re8T9vPFWMbaR6sZU4+aJBx6jhGkmS7Fs+J6/aR16kym2S1JYF00RI18RvPaslrmwMGLomvv8Sx7OC5jIUqI6EdDzyWdd82GskedfyPbAsCyNO8KGtLoprTp4qyizWxWwj4fmeFIui6RXOomQkk8c9q/bh3tW2rRgFot7jzJ+C+lBN09AcDyvVK+QxQQ06qO+l9IpYSPeZcZOqY0ZzjfJ7eMdxCsTRPSZ/BvVVsbAh2jJ5GpF/i9fskK7R/oE0RjJ5cQ3zAUqHglMysyZs4N/OmqmknoR0Xcwvqe+PGLpYcE72BDpPntGIT125AGfObsbxk+vEXDmbN0V6zUDSLttNbUsOItF3zUmGi4S8U3z3ir3Y1Zv0qc1oDiSCDuMwXspBZA12cBlQq+doIuigmuySYra1LuJTOigbccWUDt50A0/JzCCjbO9+kzdlwWuiDQT7YgB+pUNeMpIMCl7UVPCdADV9aFJ9VBi/G5r3+1rCa4b6vpBhB/dM6eQoXZLmqQmnPdNYQr46NHfzBjKB4GBkEELp4Hg6eJUOanqF+3gFy44jEg46TCA0gJQKOgB2RzyjqUbIN0kq5vV0ANyFCx2Tcqp/8c4z8WuPHJtuKNnTQTaKEkoHT9lN6gDrApQOtOhNSQZihNxZlXN0LUVt1FCi2SFDF/+m3G97QHY7EdpFiUqLDLnzN3QN5zmd//sunCceL7X4OG1mI255x1kVnbMcoFn25SuUaxEJ6aJzlb+XV+kg7xCn8yamN9XAsuyymo9LEtJifP11J2PD11+JkFRiNGiQEeflXKsVu/owvTGGL1xzgvI8yX8ba8KiygcAUT8bsKtv0ICdzhWwbGcfzp7bAi+6ruEtZ892c4R1vyKBJmrdwxnMaK5RgipKbjoNws6AfdHxrbj3Yxc6bt10XH+P3VYfQa+jdKiNhjCvtRb7B9Ni98c+L/vYFDCixeL+wbSyI+lVbHh3jmgBWB8LiYkMSbzlNtciLWDOlAzk5pWo/dziWdjIO5QAcPGCNjEglpJqVwP9bjRgXrygzadmoVz+bV0jqI0aaIiFkcoVEI8YIsAG+JUOJ01vQH00hKXbe20filiA0sG5vvKkkAI9LXHXqNUXdJCVDgMpsStdjdJhJKPmctKE66kt9sK/wVnwnz6rCW+XPGrkFB1512LpFy/HE//vUmH899I+d9EO2EZiFy/wmyeHRXUYddJSE1Gd84Py2gF/X/eaU205PQWl45EQHvz0Jbjm5Kn460fOx3sumCv8FC47YTJed9p08RvHIyE0x+0yprKjt6xK+MGbT8e7zpsj+gt54ht0PxP0Xaj0pjxWUpk2Og5gL6jeff5ctDjBp0Clg7QAlhVU9Fm0aPdOmqc2xkR6xcsdQ1g8vSFw1/PKE6egNhoShsJEQ00IP337mThzdpOycJQrYHirYZTCa04cRFt9FHv6klizd0ApZai+xpao7+5NiLlEXTQkJtcxXxqcpEiTdv0GUzkMp3PIFyylD/zPaxcHpoc9/bnLROWHWNjAlIaoSDeIShUL5HOgecrf13Rg5e5+JDJ56Jq9EL/+DLfcNo2NJ01vUFQV3r6ZqJOUDnIaGI07n7pyIf7f1Qtx7jz/eAbYGzG0q10bNZTAs7wzKm/GxCOGUDrURIzAexmArx8rpnSgz5S/IaVilvJ08KYm6rqGsKFhs6MypD6EXi8v2ExH6RA0tyClQypbEB4vYUMT/eckSq8YoT5HPUZM2jSKSkqHGk/uv/e7JrMF3z1PwbHGmjD29qWQzZs40ePNQH0q9WFeNc5o8JakvNbpZ+XrRZffq1ihDYTWWluVmZGMJJXzriC9QtM019PBKL4J5VUnqCkams9o/tZ3neUL3hDypoRlWdjePSLUKH1lFBPF7lPAo7Sqt/sM0/Sf6+7ehDAcrpPSKzJ5UwmATKPUXakfjYUNMZYc11brlJ63z88bhAWqCDo4bd4umVk6vcKbLnI0wkGHCYQi30F51fJE6zvXnYLJ9TH0JrIomBZyedvTIaiDmCoZSeqaWzrpmpOn4UqP9wANwj1F0ivohuocSit5rjRQyTJXep6+Szpv+somyVHHYrsLlRCPqEqHsK6JyHx/Mofrz5jhm3TRYEG5jwnP7qRl2TuqT/6/S/FJKS/cu8CQ7/NZLfGiMjYv8gKZOhnqf8OOySX9TZw0vRGT66M4ZWYjpjXGFOVIJlfATKdj/PAdK7FqzwAMXQvMLSMMXRMTSLHjX+L8aVBf2z6IU2Y24qOXzscrnbJr8qTHm17xySsW4K8fsSWVDzuu9se11aK9P4UDQ2klFaIYtHskDzRyJz7TI4OUF6qkFKD7Qx0Q1BxGmdZae7AaSuVQFw2JgXOjo9QA3Mk1DZ3kJA2oi4OasHpPhz07R3cu24OekQzqomFX6VBPvhbua9ukHcszHDNJXVMXRl7k7/axS+fj7efOUZ4/Z26LkJBXOjCWg+5nWsQsmeP/jac1xkQqWTwcEvfo1IaYcu286WYhQ8e5x7Xg6S3ddkoKpVeEDZF3Giqx2JJzk2d4rpuoP58zsX8gLe6pUsFGb7+bzKjpFVMbY5jeGBNGjMdProOuAd96w8nKglRRa0ntY1pjDea11eKEqfVix1reSZlWJC2N7mm5iox9vqqJnbwwl5HPZ2ZzjZjg9iZs+bIcKF0ytwVfe91JPjXVIsfxvjZiL2haayNKsFS+rrNa4vjmG04Wvx31fdGwWg46EtKhae5vK6cO2sd0r40cUPFOBJvjEfQns0jn/QsQefEteyxRcEdWUsmQAq1gWth0YNi3aPHiVTo0xMJ45UlT8bePXahcS7nNlvLL8UJGrqWCz211ETy+qQt7+5P47NULA1/z2asWIpUrYG37oLIpQuflHRflccubPrNvIIW8aSltvCke8VVDAYDZrXHl8+R0CuHDIhQx9v/lPuyhDQfsoLFTHvn8+a0ioERt6sZrFivVJoot0CjdZTiTV9owURcN4ROXL/DllxOywswb3JXHafkWaqwJi3mBrOQiasIGmuJh30aV9/cQ1YSc3yIoPTIWdqtXuPd6cHoFYN9nW52gA6VYffFvL2GtlEYGOEoHJ5jsxdDtSgEdUh8l34sU/CC1h3d8koPEFHQyLbVPlgNgubyJe1a249ltPYo3E2Bf6+duvBzP33i5+Bxv+WEKttCGX1DKZrVcLnmhAPZ3vOej5+OPHzjX/VxPeoWb0mV/fltdRBhJBo1VxT0d3L9tE0jyWnHmShUoHeSpTNDCt9RiWA5OtfenMJDMiYBuf0B6hfy7llozKEqHuij6k1nkTdOXXvHoxi7hzUZrlYZYCMPpHAqmhVhYxy3vOBN/eP+54vPpc+X2/NZzZuPZL1wm+mzqAyitynvupWits1WfIV13lA4l0ivk78xBB6ZaaLJUTulQGw1hUn0UBdOy5aEFE+GQLho8dRS65uYHvePcObjp+lNL7nhQR6umV7hGkjRpy+RNZeIT5OlAkyl6LJUtKC71gLrwHovSoS5qKIs4Q6peAQAXSCVCvedHi9U9vUmRQw7YAQBN03wRWm/EX97RlyeqH79sPt68ZCaqgXJC7aCDfd3kjrWlNoJlX74SZ81p8RljvvGsmb789LChldyhlaEAUCFoNuIgn8upzu4tTShlt+bJ9THUSSkv0ZAhgl/rnV3auW21IhetkqAD5VbK5ydP7mZ6Fo/y5MSdlFIU2n2Odj4C0yucCc+evqStdHDaghzs8aZXyPntcsUMf3qF247+921nYNHUeuRNC3WxkAjYifQKaREl52Y31oSxYHJdVcGuq06c4lsETG6IisnVeI1bdD+fPKMR//z3ixRzP0LTNFGGrSZiiEDg5IaoIiGvCzBIuvrEqdg3kIJluYuHqLJod5QOAZPC6dIi3ZtTb+h2/e6OgZSthKD0CmfCEHR9gpQOsou7HLCa0hDFhy45Dt+57hQh0XfPWTr/gEm+rmuiL5Ml3NMbY77XAu5km4x/acFWI5WhtcvbBk+c6VabXB/FvR+70PUWSecr7q8phSbuvHeSs6tOlOqf3N02VelQEzZw9twWEVCg34RMAeleMHRNycn2TqCbayMwLXt3tphh7akzG/GG06fjv68/BQ986mJ85bV2pZrpRQI9k+rtlKxdvQkkswXfosWLP72iyIJVep33/i0F9Wv1sTDeds4s/OKdfiUejWEfvmS+L52NOH5yvTC0lftWuk9rImp7CPJFoHNp70sh71TcqhYKroZ0N4UyLLUTQDWbe3DDASQcpRpgX7vXn25XY6J7qDEeVvrtINUbYN9/ddEQRtJ5vNwxhLCh4b88lYtKQb+1pql+HUBxTwdlZzVkKMFMen5OgPG413vKNSC0/1/wJubD7oOpLyC1JaVXeOc99Jr+pO1dJHvBrNs3qJrw5S30jmR9Jd0BUjpASRWV+5bWWlsdRZL9uGduLC/u5L5E3RGXlQ6mqEgWFDia0VSD2mgI1zkbVUH+XLQTrmvBG4TVcsnCSfim48FEP/1Zc1qUuSddfuqnDKctUqCutdZOIUjnCoG77MU9HdSd8vwoPB3kYxgBA2SpOYV8qA0d9tyQlIH9AUaScj8dtFEUdB6T6qOwLHtd400FkZHHxIGkHXQwdA2vPmWamL9qmib6De91ltcztCkwpSGGf33yItz8b6dWlHYN2O2rxVEFapqGdL5SpUNFhz/iGJ9tMCYQWnSWDzoYYiewazhtp1c4LW7Zl6/AYDKHq374NCbVR0UDPXF6A04sMwEKGTrqoiFRgxaw882Ep4O0WGutjYAKltEEQ54w0WR/elMNXto3iKe2dPmkgWp6xejvmLhk9GgfS1cmNEEdLi0mJtVFEY8YuP35XdjVm8QnLz8eFiBqV3vxdhxTG6NCUigvlD73SjX1IIhHPnNJYKceCWmBSgcZeVfok5cfj/dfNA/Zgh3JFYoJXS/rQUHQ9QuqGe2elyxbtidp1OnNn1yLRzfaz505uwmapqGtNoKOwTQiIR1TGmLQNGCrY7hJk5vGmjAWFtlplbn13Uvw9zX7fDtdEUMPlMkrhkOeSalsekaLw6D2R2U786aF2ogRKBGktk/XraEmjGlO6suk+uI5z/LnzWqJ464PnYdbn96BV58yDXcv3wNA9nSQJ2HqLudnr1pYsga6l8kN/gXq5IYYvv66k3DqzMai0uBqke9t7+JaZtHUeizb1Yd4xJX2Tm2IKefpTa8AgFeePBWfd2p4U3qFMtEkT4eA906TAg0zm9QJu6ZpiBg6djpVIWZUkF4h36MhXUMym1cm6bGw3Xae396LE6c14BpPtYag4xTbxblwfiv+sbYDDbGwmDQH7RAD7uRk/6DtXXHC1Hrs6bNL1NL9sWByXdHJEKWqvObU6aJvi4bsCXelyrTTZzUhGtKFc/2k+qjI3abjFYPOqsbj6fDN15+MGc01eGJzF1bu7hdjIamM6JhtdRFlgubdaaXgXudQBidN87fRZV++AnXREOKRkK9Uc7FATUMsjOF0TgRXy425zbXeoEPwpkA1xnQy1M/URUP47+tPDXzNKxZNQt408dmrglUOxIcuPg5Lt/cKjxIgODAqfy6x/uuvxEg6j/P++zG09yeRM63AhWw5KNijKBtDOpAtiPuH5ikNsRD29qUQNvqVoO8nLj8ep81sUtLf5P6q1OKgLhrCnr4kDgyl8eVXL8b7L5pX8blTKk1dNOT7PeNF0itk+b63IgUAfOW1J/rKCgYhlA7O72IGvCcWMnDbe87GA+sPYEpDDM3xsEgl9Ho6AO59NqO5Rgno7epJKOe0uXMYyWxBGOrKhHQNBdMUVbfsc3Q/q7EmjGhIF/n93lz5hVPq8OVXL8brTp+u9CXy33JbzBZMMU+9oESp2S9fuxgfuXR+4MI2EtKRzNreVaO9L72UC+IKTwcR/Nbwfx+/wA061EVE2rP8W1x4fCue29ZbPJDm8zhQ50PB457aduQFftCtU6nSgQJPNMcLNqQM/l29eNMrAFvBLQfxvMFbmmc0xyNYkxpAwbIC231jTQg9I5mScwKa702qj+L4yfU4voI5rsx/XL0Ic1rj+P3SXb4gj9xW6NLapVaPzqgDBx0mEGpcdVF/Y456lA60i9o1nBElMwF7l1mDO3mvlvpYSIkAZ3KmVL3CPS95V9+QJjYEDZZTG2O4/syZuHPZXt9nyf1suMLFcRBeyZ1sJAn4J/Afv2w+3uq4PGuahtktcWw6MIxFU+rxqSsXVrWTZE9c7El0sYloMbzluuT0Cuq0ihlsyvnf9TG7/Gc0ZGBSXVR4JoQMreKOyF1UlPB0kH6jOmnnCLAnLFecMBlzWmvd3Pk6O+gQDekIGzom10fROZSBoWti12fJnOaKBu4pDTF86JL5vsdrowaySbNkeoVXAaSU9Sq46hIvchuvjYZQ5yiMZFmmmMQ5h4wYOua0xh1PB/f9XsmtPChGQzpiYUOk8Zw0vRGzW+KiPcn3vrd836tOCV7AFoOUT//v6oX43sNbAABT6mOojYYU88mDBeX814QNMame0hhTZPFBKR/y5KE+SOng/C5Bk8Y2KXATVIM9EtKFsSYFJ8stsr/62hPxzX++jKZ4WJhMAbaSak5rXPTFswJ2JQnVlyb4nrhQKB3c8/aqNQg3vSKNSfVRMUnK5E1MabTfX2oyRFJueTyqj4WQGcnipBmV1aGf3lSDdV+7WvQrXlPFUhO35xw/nnPntSj3J6UFnjC1Hq86eRoe2nAAWNPhpleE3bEQgAjEej+LFvxBng7y+4MoluJAJS9X7OpH2NCKpq6I10v9VE3YKKtYaq2tboyh61YqveJt58z2BVWCCBk67nj/ucpj1Md5r633viP/h4ih48BQBoWCFaiGKEdQacZPXHY8vnX/RsVQdMu3XoWBVBbnfucx7OhOKL5CDbEwrj21un5TvLcmhGU77XZZLqDkpVmYzAVXtyDk4VBVOviv15zW4Fx5b949LdYo0BOkaIyFDTTXRkQgpTFuj9/y+2REacbWWqW/2tWTEEbWgH8HW4Z21w8USblqcIIOFFj3jqOapuGDlxynnJP3fpZVsLmCiZ7hLOa2xoVkPohY2ChaTY3uqfEwkSTKzTnpK8j9oNx3y/2RHHT41buXYE9fsqgqwFe9ouBVOqjv+/OKvYrfkn0MLfBvcdwSX01uhqSEprlbUDCtEnNMwG8kCdiKNnn+pHmCJaQ+aoyH0Z/MoVCwEPQRpcpiEtROq/HfkXm7Y9r8hxd2+56T5wk0dz5aUysATq84KATJieVJb20kJCZE3UMZW+kgR3mdjmJqEdltKbxmlOlcAU7wU5EtygtsGpDkxQHd3GFDx39ffwp+/75z8It3nomfvv0M8Rr5Rhmbp4NnwqPrykBDgxiNwzOaVDk6Gdd84VWLqgo4AGqeZmPN2PL76PwMzVU6FJuYydJ9eQdETrEoJT/z8uVXL8ZXX3siXrHQb0hHyJMB+kw3UKLhN+85W8iPAXdXntojReXroiEh/6wktaIU1LmXSq8Q5+ych1y6lXw8goJectCBfud5nkkeXWOa5IUNXUgyVU+H4ukV3t3eN5wxA09//jJxbFqwNcfDVf2mMlSphNr9Jy5fICYD3nKyBxOS39dEXAn9lPqY0g8V85mg60u74K88aap4rtSCRi+zqxkN6SKwRBPPcoP6ey+chx3/fS1qoyEkMnlRku3ZL1wuJvMAfBM2GVUxEXz+s1riOH1Wk5uW4kk9UI9H6RV26c9XnWxfnxOm1QtZ8IIiJpKA7fUBABdLfQK1xVcVUWsEIQcyvZUXSikdyC/mMk/OM6FpGua11eLsuS245qSp4r6jsYQ+a7FzrbyBHDllodL0JCLInRxwJ6RLd/RiweT6ssfVNE30LUEBMJn1X38lnvnCZVWdJ33+eBnEeqFxyLs4CVqkkjR5MJVDzjSrHmsB93vI/ksfuPg47LrpWmVBEgnpmFwfE5UvKi1XV47pTTUYckrslUud8UJBhyA1oayEk/snJa2oxCLHi/cjIgZVPVCVeTLee7G5jLkmvX5Oa1z5LXf2JsTGB2CnMDbEQkLtJBMybCPJ/UP+9Ir6aEipYhIx9LL3EwVm5PmkfO7ZvImekQymNsZGrVIQ5qzjYCJJlFM6lBt/5GCkPB+MR0JirAg8rq4uvAteTwdPm/v8X9f5PAbkoYragXy6pTa+LEk1kcoW7MV/iXYeDdj4CkJujzQOJLMFX7UO+Vj0XFNNBNm8iZFsPnAcFmUxSwTM6TtUU944iKDfXVFlideN6WMOa1jpMIHQ7efN/wY8+UJRA2HDbvjdIxnb00HqWMlQZzRKB+/EJ5OXlQ5SeoWsdKCgQ0B6RUjXEDZ0XOJMXKnclfw+YKzVKzwmfYamlLmkgUoP6BAB4LozZmJaYw0uWxQ8uS1Fa62aYz8WRAesucaDxQbZaMhAa61dJknu/GY01Yj64aXqGHupjYbwXqlKRxA0cQHcDpcmL4FGjJQfSg7AjTGs2Wu3MRo8zh5j0IEGHq+fRdCA8IYzZuD/1nQIPwpASq8IuFayGSbJ/ee2xbFsV594nN5H927Y0MTkSg5IeSfYcnv35t96oWvVUuUup8y33nAKvvWGU5THPnHZ8fjfx7f58srHAu00VcpCUd3AEDtH3mBpscXJtMYYuoYzYoFz3nGtaKuLoGckq0w0f/zW032D/8UL2opOGiiXdPG0hqoXa/FICAnHSFKe+L717FmIGBr+7cziPi9qSljxe/fej12AoXQed7ywG9ObYkUndTRhyuRNTKqP4lWnTMPGb1yDmoiBgmnh3y8/Hq89bXrRz7ng+DbxeuKmfzsFL+0bxBvPqs6vhvAFHUqYa33jdSfjy68+sezYcNacZpz1LtergO4nCkp94OJ5+Oyf1/p2mOV2X2kaGlHsmlOwbFvXSMXXaNV/XYX/eXATXpbSToIYjckrtcGgNKPx4JqTpmH/YNqX4kO/mfcyNcXDGExlEZYqTFUDzTFKZAEqvO70GVi+q19J6RkLpKib0VRTtYkg9d9BO7iyx4OaXiEtJqXg3XVnzCj5WZZHAu9WPSiudPAuwpsCzMJlKJg4t7VW2eTZ25fErp6E8trTZjUFLvKpesV+Ob3C6fuEQbCn5HUpYmEDQ+m8MqZ6q1cMp7MlU/7KQddyPMdNsVhH8D1x0fFt2N27p2gfIM9VSi2Gvai7/a6nA41FQceS/Yrkc7ePYf+fVK1A6QWxKR0q6SgESwUj5cBiqaCfEnSQ1irF/CfqAzZMe0cyCIr906ZVqUAm/U5TG8e2oRN0z8hthL7P0ZpaAXDQYWJxxoFSEnfAntgauoZISMdQKodcQZ3ghg0NFx7fKqS41eCdZNtKB8dIUrrh2xQjSZrYyNUrIs65qHetauSiBT5eLX6TPl3ZaaFB4nNXL4Jl+Qfsa06eimtOnorRIC8Ey+1UlcMSMQfZ06H4dZnaaFcwkSPDQZLAiKHjzDlNYzo3QF0gUFugcw7a2aI2QhMAmpjWR8M4e24LrjhhclEX+EqpjRqIRwxf2kFQJ3zposnYddO1ymOup4N/dJEHeKokMa9N3RkOe5QOkZCOJXObEQvriv+EF/l6lVvw0C5iNa71lfAfVy/Cf1y9aFyP+dTnLlWksuWw3fqnYMncFpHDSXniv3r3EqzY3Vf0vZ++ciHee/typRTn4mkNeGZrD0bSrss7GcfJeGXiMjQh/+4b3Rx4CiiePN1tr+cf1+o7v7qogYRjJKlIfA0dbzm7tIQ9UoHSAYCTSmU/X8zQ0D6G28Yo6EIBBEPXKvrtvTtdFy+YFFies1K8JRm9pRZldF1TPv/Lr15cMk2AiIbs/p+CV9efOROLpzUIVQ0hl6usVulQDNl7opqdcG/54fGC+qcgX5TxYHZrHF997Um+x2nR4u1XGx2lQ1NNZHRKhyoDL287exb+tW4/Ljth9G1WhhR1i8tUJQmCFvHeRRvgNYdzHy+mdHj/RfNKLpxNz0e4VQ/s/xcqCNrIAY9AY1ApvULe5MkVLLywo0+c/2Aqp/iAyIQo6BBgJOkGHRyD0CJVQWRkVYR7PPncTPSMZIuWhq0EOvZ4pleU8zf56mtPwvsvmucL2hLyPLSaoIPixwCg4LRNOp+g9Lesp/0GzeOnNtaIoEOxQAqgKm6SWbvCSSlVB7Xj+mioYiPJtno56OC+Rp4jqhumFHTIBrb7E6c14oUdfXjr2bOKfn5zbQQ/edsZuHgUazCZoGYRpCIJMvA8WuCgwwRC0ely7UeUNzR05AoWcpKng/1+DX/8wHmjOgfvjkg6VxDRT3lxL0dW3ZKZ/hvXu2ieiLqy/nx5Teks6No010bw39eru71jpWVclQ42ssSs1C7f1IYYNnQMqUoHacefNjO2fPtVYzovQh7IaQJkSottL15PAso9r4+FcM68ljGnVtjHCmNmc82oI72UZ3rhAv/gEFSybl6bPemMRwwkswVJrmq/LmLoOGtOCzZ+45qS5yQPmOWCDjTpqjaf+1AwrbGmqLFhMX75riUAgPvX7UfY0ISJ61UnTsFVnrK+Mped4A8ive+ieXhma0/RuuDVIC8sZrfGcc9Hz8dJUtDhzg/5+9h4JISBZNandKgEuU2Uc/aX1UOVHK/YZPVgU43SwYucu12KsKHj9veeoyz6gxaJddEQQrq9uzduQQcp8F6uXObBwPV0mJj0iqKfq/tl7oC9UOscTqMuGhqVurHa4EnI0APv09FCSodqUysASekgrfi/+8ZT8a+X9iuvk8cNxdNBulfKVaXypk9Q+6Z+RTbwq4uGfKU4AXVRXSq9Ym5b3FcC+pmt3agJG5hUH8VgKhfo5wBIng5SeoVIX3A2caiPqEzpQCmJcl/q/j2czmMkkx9Tf0jXcjzKZRLl0iYjIV0JrntRg1OV31fyotYCAjwdyisdgub0k6T1Qal4itxKU9k8aiJGyddHwwae+fxlSnA3CDmgWRM2RBtXzlW6THL/SL9rbyLr28wCgM9fswgfecVxgabcMq8roSKslECPDOV59f9HIxx0mEDOnN2M5bv6K47Chgy7xnEub44pPUHGezNn8qbY+ZMX90GeDrUBQQdvZyp3Boau4S8fOR/Pbu2p+jwn17uGid782pChlswci19EOeTgS7mOsCxudoVrJFkq6NCo7l4CqrGUV2I5VuSJecyndPCf5+tPn4GQrovFslA6jOME+D+uXujLMayGc49rxbqvXe3zMvFCucunzWpCW10EM5vjWLN3QATVhKdDiGTFpUeBsOLpUFl6RWuVRqVHGq86eSpOn33ZmPIgL1s0Gdu/8+oxKacI7zHOmlM+SFYXDaG9P4ls3ixqAlsMuU2U67N0XcNJ0xuwZG7xc5IXCqM1tBpvvJP9Skv6VstFAUFEL5qmobk2gu5hf8nMSrjno+ejd0R1WJfVbotHsTAdb65YPBkjmVxRD4qJwjVyVe+BxpowNncOY0p9bFT36GhSTMaThY5Z6VmOV0Q1kPozL8kQ3rRkFt60RN0xlS+LUr1CKQlZun+gcXnB5Dps7RqR0iscpYMUdHj8/70C/Ql/ecLmuH+OJxMJ6dA0W/3hXRxt7RrBgsl14jc+rZjSwdCQyOQxIJVHpDNr9KVXVK50iHpUZgQFN7yGttVA/XTTOHo6jKaSi0xDTXA7KYf8u1mWJVIHaCMrqJ35gw7+v5V+vsRXk9thMltAPByCpmlKFTaZWNgoacYsPtJTlaOlNuILOsjqgKAN0/5kNrCdxMLGhI1bXoKmkZpyvTXl/0cjHHSYQD73ykV43enTFef2UoQNHbmC6fN0GAskX9U1e/c2nTNF1LxWMZL0ezpEQrooqTapPorXnz4d5x2nliVSgw7A2XNbcHaJiXMxHvnMK3DrM9vxsye2+wajkK4ruVDjtYsVxCzJwLCuAvlfKejah0O6yD8utfigXU5Z6XDx8W149SlT8a+XDqCCSlpVIV9HUQlCeDr429+UhhjeJ5UUoyDJeOYXn1pkB6UaygUcADfgNq2xBiv+8yp88W/rsGbvgJgsuJ4OlbU1VYlT+t6lBVFL7eGxcJwodF0r6hheDWMNODx34+Wj7k/jEQMHBtN2+luVwU7FSLKC997/yYtLPi9PZA9bpcME9s2V0BKnoEP15xEUhKKF0uyWeEX9ykRz8ozGMeWvjxaaBHv7QzKSzJtWYBu/cvHkkhPowyHo8NTnLi2ZOlcMMpPNlcltUDwdaoJl82UXPc4hvvH6k3HyjAbxO4jqFdKKbnJ9LDDQ21jG06EmbGB6Yw1iYUNRTtRGDCSyBcxstiX2M5pqivY/hq6jvT+lPEbHavSkVwRV/fBC97FavcI9d1rkttWPPoDvKh3GMegwxvm7PPesztPB/dt0gg4RQxf3ZtAY5m2/QSnTbUV8FEqRyhXEBpquaUobJUbTT1NweU9fMtCjAVAVVBRss6zRlyoeL4Kvnd9D4yiOOXDQYSIJGboi3y1HWNec9IpxVDpINe9zBRPpfEF01LGQISKQcn653GHWx8LIjGQQMXT8+K1n+I4fFKUbDY3xsNjVDzKSlJmoie09H71AKXs51g7qf954Kv68Yi/OmNWEpU65uFKLH8rnljtMXddw+QlT8K+XDlRstlUpao66Z4e/gkFTTq84GHzulYsC65FXw5defQJW7R4o+rxbvcL+d6WLVfl15VQR9bEQXnvadFy6aHzykpnSjCXw8aYls7Bydz+2dI7g5ArLShJq9YqxzyLkwNbkQ1ihRKY+GhKBaaC8ymeioYXDeKnhaFF8OKRWHEqoS/N6jjTFwxhO55HJFwLb+K9vOLvkcQ+HQE6xMpXlqI0YOGl6Az5UJk1Inhc1FtnBLhd0+O4bT8XPntiGJXOblX4lSOlQjOYyng4fv+x49Dk+PPLcZ05rLV7eP4RZLXFMb6opqQA1NKC9PwkA+Onbz8DevhQ6BlJYsbs/QOlQmZEkoM5VAssmj0npMP7pFUFVH6pBvv7V7MLLAQPLsitIyMrZoLmJV+mgqgrsv+W2U+lXIk8HwFYhFAKUuqNVGLQ4/byi7JCelzfC5HtuAkXSFRE0DdAD1lCHOjgykXDQ4TAiZNiTN9MaW/UHGRogwoYOXdOQzrlBB123Dcx0TVOiqfLkoT4WQn8yW3QhJUuaxrojSTecr2Sm51pMlNJh0dTSNdirpa0uio9dejwAydOhxLm/+pRpMHTNV4aPvq+3VvdYkSfm9PvS3KWSmuuT62Ooj4Ywtcqc/9Hy8cuOH/MxPnTJ/CLPqJME4W3haXsfvXR+4ES5Gg8KXdfwv2/zB/CYw49z5rXg0c++Ak9t6a66pJqSXjEOfZZ8vNbDRCWjaRom1UfF7mY5mfhEQ3n24zVGhAwdV584BdeeWnlJ0aORKQ0x3PzGU30VoWhC35/IjWqnuJKF52g5c3aTML+bCDRNK6tOsl/n/k3pOpqmttFyGylzWmtx8xtP8z1OG0SVBB3o99G04LlaMQXNvElO0KE5XtaHJaTrYg5xyoxGvObU6fjafRsAuG1liqOQrEzpEJRe4T/3sQQd6NjjaSQ5XvN3oDqlg7wINy0LyWy+7PtzJapTUTuR7+1KF8TJbEF4KBSbHo12A5FUomo6ifu8rKCy0yd0pHMmjArmtRNJoKeDUnHE/j8bSTITwnnHtSgdb9jQ8I+1HfbfVeYPF0NI/A0dYcNS0isMza6ZHA+rZi/yjVnn1FYuRrHqFaOB+mmv5NJb/nCiPB1iEygNrsRIMhY2Ap356fuOs9Ah8DpWo3QwdA3/+tTFh43UezxxlQ7qNZooV3rm8EXXNVx2QvXld8db6UB9bXM8PKEpZtUiBx0OvdJBNbsdD25995JxO9aRzJuX+N3dhTN8IjMqiXslaUej5W8fu3DCjl0N8ryI5jZh3a3IZThlyEcDbQ54jSaDoAVgtX3RPEcJMrO5/OaCPB8ks2b6/rQBNsdJZQmS23uhIKa3cpCXsfgjCWPyCVA6jAfeikOlkKfglgWkcqZvEy9saEpKhfy3dwpP/5avTaVfzTaStNt7sesxWqWDnDZOyPdAXVQNIDXHI9g/mMY4Za2PmqDNKfkRLpnJTCh3feh85d9yZ7qnNzkun0G7shFDA6AhV3CNJA1H6dAYjyiNXB6UyBG8GHLUc6ySIFfp4PF0OEhKB/qciaiBXlOBp0MxIiFSIYxv2CHo96pG6QCgIhOgIwm6xKWqeDBMJVTr6VDp8cZizDkRvGXJLKzeMwCg8nSkiaLFKZvJ9+3BgXav+xLB5egYdcFFqaNhyRx7LJsd4SqUDo2On0S1C+L5k+2gQyVpKKS8aKmNiAUlfRy1lTmt9pzBa9oaBM2XIoakxPX0MQ2x0JiCnRPi6TCOQYfRpleYloVUNu97f200pBh9yiUzvRuH9G9V5Ve50qFW8nQA7N9T/rzRKuPoO3nTSQhvym9jTRj7B9OHvI8qXzKz+OuOFjjocBghT1KvPql4ablqoOhyyNCha0A27yoddN1WOnhlZfKNXBcro3Qo4h47Gs4/rhXvOHe2z3jTO8iMp3QNsAdIymUEgBX/edW4Hh8A4uHySodi0IA73p4OQZgljCSPJao1kmQYL/I9NB7qLDre4aYseus5s7GzJ4FfPr3DFzA+2NCOHAcdDg60kLVTQkc3Zvzh/ediWtPhFUgbT+TpUzRkKxxChg7D6RPG4pxfjaeDqEBW5cLr2lOmoyYcwuJp5dNPaXEpl/6l+SPNRWc02UGHnpHyqS+0MVKqFG/bGPtDuobVps+Vgq7xeMyiRp9eYZs5epUOtRE16CB7OnjPV6RXSGuEypUOspGk/VhTPCyq1AGjD85QsEKeE8vpx95SvDQuHOq4aNBaiqtXMIcMmlResnASLj9hfIIObnqFBkMnpYP9nKFpmFwf9cnmvJ4OpToGJb1ijDf05IYYvn3dKb7HvZ8/3rtpD3zqYuyWlCUTMWF10yuqP3c6n/FWOgRBHzGe8sAjEauIpwPDVEpEUTqM/X6ifvBwKZcp84VrTsAnr1hQlRR4IhBBB75vDwqqSdvo2ngl5VCPZNScbQ210ZCqdBhD0IH6lUrmBmFDt5WrVfZFkZCOa06eWtn56P6gAwUOqK3MbbODDm88a2bZ49GZyvez96uOxc8BsL+foWuoH8dKKuO5aVPNnNGbbpDMFnzpyl4flVwJpYMmggWSkWSFC+KkFPCgNtAcjyhBh9GGZeieyUnBNrlZeH/L0QbcxptAT4eA6hVH8/Sbgw6HEWGdpGTj1+IovSJs2B1rNm9KRpLAre9a4jM3lCcPZ89tQTJTKHr8YnVyxxNvRzHe+U5TGmIi/3CimN5UA11zy0xWg2skOd5n5UeoYI7iSGslCE+H/9/enUfLVZb5Hv89VWdIThIykImQhAQMESIQIAZUhmCYGrUBlyig0Gi3XLXFvqLLdkDbCdvW1qut4jUsp6U2tleuQzuhqFcRGjEItiICYbBlaIiAEMBM5zz3j713nV0nu845dar23lVvfT9rZaVO7Rreqqeqdu2nnvd529RbBb0nnSxt5+oVnVbpIEVfKseuOlSGpJHkYEHrrve6dNIhz/4MIZk52KcR99r3rPF+xZ9IM5UOUnTwtX1X4+9zrUoeU/r71NjpFbOm9evO9502qSRVrSw/9R117CNd0GLS4emLZ+mI5XPa+r2yHZ/3Jx60SFff+mBT40pfNlm9YuzzMzYJUbdk5pi7Sr7Tz55CpcPwiNcq35LbSQ7+954xoIef3FlrrNqsZErSzt2jr+X09+OxVStzapUO5X6fywplZqVDwFmH8r8loCY5wGnnL+1JpUOSzd2Z7ukQr3c7Vvog/5z1y3XO+uUNb7+djSQbKXuecDusmD9Dv3z7SVNalmnscpZ5SpIOvZZzGPt4k2e67Mw4ulf6s7EdX2g7dXpFJzls2RydsHqB1izp7SUui1KXdAj4i3I7zRzs01O7dqd6Okw9QZZ8xkx2Jek5Q/3auq3xagVpswb7dFyTyzonH3PpJdizDlwnWxWT7H7r5+7XP9j5LTSRlKTzn7VC5z9rRUu3MVY7vjd88mVH1JYinqxq3fQKz5xe8ZGXHK7jPvjj2t87dzeeXlEx015jplhbE9UJydQQM9PQQLWWDL70zEO0Yv7QlPsTJZUO6bEn312PXTVfR63cu+7yc6bYRLXdJly9YpzLhYKkQwfpq1U6tO9AZ1p/VQN9lfpKhwnm7VenWM6VV3YulE6uU10HerA2vaKdo8mW3EczO5aQJE/xla9+tv79V/cHkfBCOdr9ubV4r2k668il2nhQe6behWjejAF99uXryx5Gzxjoq2hooKqndg6ToJ2kGYNV7RoZqR3ItbLMbHKQOdlKh7lDA3r0yV0TX1DSr991StPjeTKuip2b+qV5+kA0nSRrqemJJT+47Lmlr2LaPeItT6/IQzumV0QrzjX32ki/BZPpFWOnvC3fe0gvOnKpvnrjvZLG9HQYM+xTD1m8x/TrZnZrQ6meDrOn949Ol+kzPX3x1BPDtaRDauzJS+SMtfvukdRKXo9lH8xnNpKs224NLxcKkg4dJPmAaXdPgb2m9au/Gi3L9MSO3RoZGb+EvplsYPqLdbv7AMwd6tejT01uBxmyWiPJti+aKV3zphPqyju9Nr2i7XfV0cY+3LXL5mjtsjlN3w5zyZGXvmpFHzzrsLKHAdSZM70/Tjr02E5jimZO69eTO0aTNK30dEi+c0026TB/5qAeeGz7lO9vIo9vj76vpZdYPGf9Mq1bMXdK32uTr5fpnhXJycG+inbvHG65kWQekvdC0T+YjZ1esX3nsKb373mYl36r1jeSrB/vCasX6oTV9ctFN/OQkoRHtWKaPb2/dr8jzRVw7CFJ1O3avefrIivhMydueFv2Z1R2pcOep8tOjuSJpEMHSX5VbXvSYXpfLWs6dsnMLFN9Y7a7p8O3X3esbn9wW1tvsxsN5FjpMHbJy+SDO+Q5ZVnWr5ynL/38v3TQ4ok7dDdyw9s2arDKXHIAvWOv6f26/7HtPb/i0WS98PB99ccndqQqHaa+z6jUpldM7svBG04+sG7lgnbbtn23pPrlJ+cMDeiZK+ZN6faSryHpKRXJYx3sr+rJncMdWulQzo8Pw8P1z9NTu4Y1fWDPsaSTC+meDpP5Ct/MAXHS06FiSdIhrlyZ9C1kG8yodEhuNWt8SY+HshukZyWh0rFIxh5wzoGkQyfpy1iTuB3W7TdXe88c1N1bn6ybXtHow2Oqb8x2V1cumTNdS+ZMn/iCgauV+BfaSDL/++okp6/dV0fvv3dLDUWnOj8RALpVp8yX7hZnHL6vJOnq3z4oqdjpFUvnDmnp3Cnf3YQe/3OU0JiX0StsKsY7SE36BXTiaj55NVWfSFJpIkk7do3UNXNMSw9vvNUrskxpekUlml6RvExbXYktif2OXXs2ksz6HEoqb8pOOmROr8iodCh7nHki6dBB8qp0+MCLopLci664SbuGvTa9otELe6olYSGXBJWpyCUzR/VeLPNewQQAQpM0CGT1iuYkvbNaaSSZJCz2XzCjLWNqVdb0ilYk30JGUkmV9Sujqol3n75Gf3xihw5dOrst99VOVtJb4bE/jyYdntwZVZ1kVdKkv+PXT6+YWDPf85PpFaccvFirFs3Uj373kKTWm6KP9nTYswImq0p3TodUOkw0vWK0p0O4379JOnSQJEPX7qRDYqBaqat0aPcbsKzsbuhqS2YWcF8fecnh2nTNnVPqZwAA6C21pEPAv87lIXm+Wlnedc7QgD7/ivVau3ROm0bVmqRUf87QVJpG7umC56zUD3/3kE47ZJ/aeWuWzNY9739eW24/L0ki6YJnryj0fveZHVUGz57eX0tAjF29Qhpb6dB4ycwszbzNk/u+5PkHS5L+321bJbU+VThJttUtmRn/n/U5NKdTGknGY+uvWu15r59eEf0fSvP8LCQdOtBgXkmHvkrdkpntfgPm3QfgtEMWa8euFjvQdKGkOeHrT1yV+30t33tI7z3jkNzvBwDQ/ZJVmejp0Jx2rF4hSccf2NyylkWYOdieQ4uV82foZ3//3LbcVpEG+iq6+x9PK/x+T1mzSN+66Bh99cZ79bnr7pE0OhUhLf1ObXZ6RTNVsENjmlhmNQadiiSpU7d6RXyTWT+mdk4jyej/gWpFu4ajhEn99ApWr5gSM/ugpBdI2inpTkkvd/c/mdkKSbdKui2+6PXu/qo8xtCNkjdNXh3wB6rRkpm74wxb2W/AZl320iPLHkIpzKzjM/sAgN6TVDpUWTKzKclqZa00kuw0//rKo3T9nQ8H/UvtZJXxHJiZnrHvbH3tpvtq541dMlOqTy7s3N14ycwszRw2jL3v5DlpdaZw8p7ZlTG9IivpMNBX0YyBaukN0pPnPWmCKo1dMrP+ciHKay/xA0nPcPdDJd0u6S2pbXe6+9r4HwmHlKTkKLfpFX3R6hV/ePQpmUmLZzOHHQAATE2SdOjvsh8xylardGihp0OnefYB83XxyavLHkbPS78VMysdGi6ZObHxkikvPWp53d9jp3YcuTzqYjp21bRmJdVBdQ1Ux6l0kKS/OXZ/nfqMxS3db6vSlQ6J9PNZq3QI+LM0l0oHd/9+6s/rJb0oj/sJjcfvmrySDv1xT4ctDz2hpXOnB5VhBwAAxapVOjC9oil9bZpeAYyV/qU8q6dDpa6RpGee3/i2G2+79MxDtO/c6frA96Ji9rEJj5c/Z4U2rF6g/RfMnPB+xvrl20+qJUWyjl2SR9Got9zrTzqw6ftsN6tVOqSTDqPbRysdihxVsYr4tHuFpO+m/l5pZjeZ2U/M7NgC7r9rJCVH/XlNr+iraPeI6/YHt+lpU3jTAwAAJJImbf1Mr2jKaE8HfvxBe6V/Pc+aXpGWrnSYzA+eNkE9RJK4mNZf2eMXezObUsJBipZhnRsvxZrV9y5ZEaOTe8vUplekxp8e7WhPh859DK2acqWDmV0tKatW5W3u/o34Mm+TtFvSl+JtD0ha7u4Pm9mRkr5uZmvc/fGM279Q0oWStHz58rGbgzQ6Jymf20+SGXdufbIjmw8BQEiuedMJTa1rDnSb0Z4OvNCb0VdJejqQrEF7NTO9YmezSYcJ3ubJfQ8N5LdOQXJwPmva6H2M1KZXdO77KXluBlNTqtIJol6odJjyq8LdTxxvu5ldIOn5kjZ6nIJy9x2SdsSnbzSzOyUdKGlzxu1vkrRJktatW1fEaoGlSyod8spyJdm14RHXqoWzcrkPAECk1bmrQKer9XTo4F8YO1FS9p48f0C71E+v2PMwr356xWjSYbwq64pFB/YTJx2iC2QlO9rp03+1TgcuGj2OSaanN5pe0QmS5yad3KlbvSKuewi5EWteq1ecKulNko5396dS5y+Q9Ii7D5vZ/pJWSborjzF0o1aXkZlI+gPlgIV7ljil144FAAAYz5I50/WCw5bomSvnlT2UrrJs3pCueOXReuaKuWUPBYGZsNIhdXrX7tHv/OOtnFetmEaGfcIfRZPtWb0k2mnjQYvq/h5vycxOkUw3aTS9IinS6OTESavyqn/5uKRBST+IMzbJ0pjHSXq3me2SNCLpVe7+SE5j6DrJWz+vSod0du1pGUmHn7/1RD21c3cu9w0AAMLSX63oY+ccXvYwOl5WcuFZB+xdwkgQuol6OqR7LUy2p0O1Ev0oOfnpFcX2Kqk1kuzkpENtekX26hXJsV8HzxBpWV6rVzytwflXSroyj/sMQdIIJa8kV5LFXDBrMLOkb96MAc2LG7UAAACgNXe977Syh4AekhxDVCuWOe2prtIhnXQYr9Jhkk0Ok4P+iRpYtl03VDrUGkmmejpkbKeRJAoxEr/383rB9cfZNVauAAAAyN/YLv5AnmpTHPqr2f0BUmelp1SPV+mQvIYnOjyx2vSKYg8vk+npfR38XqtVOjRYMjNJEIXc0yHgIo7ukzRCyes9k2Qxs6ZWAAAAAOheyTHEtAbVBo0aSU40vUKa/JKZRVc6dMP0CqtVOow+z+lYJGPv4IfQMiodOsglzztYkrRh9cJcbn+gL3olr1pE0gEAAAAIiU3QzDF9TLt7ZJKNJCf563tyE0M5r14xVjI9vZOTDlnTK9KSZXRpJIlCLJs3pE+dty632587FPVrWLNkr9zuAwAAAEDxJlq2stEU7v5JVDpMtMreRAmPvIx0RU+H6P9GS2b29cD0CpIOPWTtsjn69uuO0Zols8seCgAAAIA2Sg5uG01xaHRMO9GSmVJ9ZUTm5WrTK8o5vOzspEPWkpm9Nb2Cng49xMxIOAAAAAABqjQxvSJtvJ4OGw+Kpn3PmKCCIVnusehKh0QnT01Ihla3ekW60qGWdOjcx9AqKh0AAAAAoMslx6yNplc0Kt8fyFheM/HOF6zRazY8TXPiadqNTJTwyFt1nMdQtqSSodHqFdU4Y1MJuBwg4IcGAAAAAL2hMsEUh4bTK8apdOirVrRkzvQm7rucpENnL5k5/uoVyZKZIVc6kHQAAAAAgC43WumQfYjX6KB2vKTDZJVd6dDJB+yZ0ytS26s9ML2CpAMAAAAAdLnRA/8GlQ4Nrtc/TiPJyd939P/0/nJm73dbpUN2T4dCh1UoejqgZT96w/HaNTx+R1sAAAAA+UkOWqc17OmQfb22VDpUSu7p0MFH7EmyYcZg+tB7dLx9cdIn5EoHkg5o2f4LZpY9BAAAAKCn2USrVzRsJNm90ytmDfZp247dDR9bJ9iweqE2nXek9l8wo3ZeVqVDJz+GVpF0AAAAAIAuV2vm2GSlw2AbKh0OWzpbJx28SKsXz2r5tprxzYuO0eZ7Hin0Pps10FfRyWsWa8tD22rnZfV0CDjnQNIBAAAAALpdra9Cg2qDRuX7K+e3XrW8cK9puvz8dS3fTrNWzp+hlfNnTHzBjjD6/Fvd6hVR0mfEw52uTiNJAAAAAOhyE01xyEo5fOq8I3XMqvk5jgqJdM4n3YIiqXQIOOdA0gEAAAAAut3okpmTn15x6NLZOY4IaVZ3OtVIMk46UOkAAAAAAOhYtZ4OTUyvsIYLaaLd0lMqLKPSYSTcnANJBwAAAADodpX4yK5RpUOWkJsXdppGT3UfPR0AAAAAAJ0uqVoYGsheKyC70gFFST/9WUtmjgRc6kDSAQAAAAC63F7To2TD3Bn9mdszqxrIOhTGGqxeUaWnAwAAAACg0x1/4EJ99++O1dK5Q5nbyS+Uq9HqFf1VejoAAAAAADpctWI6aJ+9Gm6vVGgk2SnSz3s1bsYRcKEDSQcAAAAACF3m7ApyDoWZsKdDwFkHkg4AAAAAEDoaSZaqbsnM1PkkHQAAAAAAXS9jdkXdgTDyZQ3+6KOnAwAAAACg22X1byDlUJy66RWZPR3CzTqQdAAAAACAwGVXOhQ/jl5Vv2Tm6PlVY3oFAAAAAKDLZSUYWL2iOPVLZlrqdPT/yEjBAypQbkkHM3unmd1nZjfH/05LbXuLmW0xs9vM7JS8xgAAAAAAaJBgIOdQGGt0Ok5ADAdc6dCX8+3/L3f/5/QZZnawpLMlrZG0RNLVZnaguw/nPBYAAAAA6EmZlQ4kHYrTYMnMpNKBng7tdbqkL7v7Dne/W9IWSetLGAcAAAAA9ISslSrIORSnrqdD6nSlwuoVrXqtmf2nmX3GzObG5+0r6Q+py9wbn1fHzC40s81mtnnr1q05DxMAAAAAwsWSmeWyBvMrqHSYgJldbWa/yfh3uqRPSjpA0lpJD0j6UDO37e6b3H2du69bsGBBK8MEAAAAgJ5GfqFz1C2fWevpUNJgCtBSTwd3P3EylzOzyyV9K/7zPknLUpuXxucBAAAAAHKQ1UiSPERx0s91evWKZMlMKh2mwMz2Sf15pqTfxKe/KelsMxs0s5WSVkm6Ia9xAAAAAECvo5FkudJTWbISECMBJx3yXL3iA2a2VpJLukfS/5Akd7/FzL4i6beSdkv6W1auAAAAAID8ZDeSJOtQlPplMvc8PTJS6HAKlVvSwd3PG2fbpZIuzeu+AQAAAACjkoaF/VXTrriBAJUOxalLNKRSEIv2miZJOmXN4qKHVJg8Kx0AAAAAAB0gOdDtq1S0a5hC86LVLZmZSkAsmDWoX/3DyZo1GO6hed5LZgIAAAAASpYc6PZVsw9+kbNxnuvZ0/tVyVrTNBAkHQAAAAAgcKPTK0YPAenpUJx0gqfSY9kekg4AAAAAELxkegWVDmVo1EiyF5B0AAAAAIDAZVc6oCiNlszsBSQdAAAAACBwyUFvfU+HXjv8LU99pUNvPe8kHQAAAAAgcMlhbrrSAcWpXzKzt/CKAwAAAIDAVeIjv7qeDiWNpRc1WjKzF5B0AAAAAIDAJQe9LJlZjrpKhx574kk6AAAAAEDg0se5/XHiodcOflEOkg4AAAAAELh0gqGvwmFg0Xo5v8OrDQAAAAACZ7X/TX1V6+mD4DJYD3fQIOkAAAAAAIGrpLIM/dVKDx8Cl6OXkzwkHQAAAAAgcOmD3r6K0c+hYL38bJN0AAAAAIDA1TeSpNKhaL2c5CHpAAAAAACBS/cUoKcDikTSAQAAAAACt8f0CmodCtXLzzZJBwAAAAAI3NhGkj19FFyCXq4sIekAAAAAAIGrq3So9vARcEl6uadDX9kDAAAAAADkKznkNZOqRiNJFIdKBwAAAAAInNVNr6CRJIpD0gEAAAAAAlffSLJCI0kUhqQDAAAAAAQu3UiSJTNRJJIOAAAAABC4dI6hv0pPBxSHpAMAAAAABM5Tp/sq1tOrKaBYJB0AAAAAoIdQ6YAikXQAAAAAgB7SVzWRdUBR+vK4UTP7N0mr4z/nSPqTu681sxWSbpV0W7ztend/VR5jAAAAAADsKVq9AihGLkkHd39JctrMPiTpsdTmO919bR73CwAAAAAYX3+Vng4oTi5Jh4RFr+QXS3punvcDAAAAAJiYiSUzUaxckw6SjpX0oLvfkTpvpZndJOlxSZe4+zVZVzSzCyVdKEnLly/PeZgAAAAA0BtOWL1Q0/qqZQ8DPWLKSQczu1rS4oxNb3P3b8Snz5F0RWrbA5KWu/vDZnakpK+b2Rp3f3zsjbj7JkmbJGndunU+djsAAAAAoHkbD1qkjQctKnsY6BFTTjq4+4njbTezPkkvlHRk6jo7JO2IT99oZndKOlDS5qmOAwAAAAAAdKY8l8w8UdLv3P3e5AwzW2Bm1fj0/pJWSborxzEAAAAAAICS5NnT4WzVT62QpOMkvdvMdkkakfQqd38kxzEAAAAAQM9zZ8Y6ypFb0sHdL8g470pJV+Z1nwAAAAAAoHPkOb0CAAAAAAD0MJIOAAAAAAAgFyQdAAAAAABALkg6AAAAAECvMCt7BOgxJB0AAAAAAEAuSDoAAAAAQODmzxyUJK1fMbfkkaDX5LZkJgAAAACgMyybN6QfvuF47TdvqOyhoMeQdAAAAACAHnDAgpllDwE9iOkVAAAAAAAgFyQdAAAAAABALkg6AAAAAACAXJB0AAAAAAAAuSDpAAAAAAAAckHSAQAAAAAA5IKkAwAAAAAAyAVJBwAAAAAAkAuSDgAAAAAAIBckHQAAAAAAQC5IOgAAAAAAgFyQdAAAAAAAALkg6QAAAAAAAHJB0gEAAAAAAOSCpAMAAAAAAMgFSQcAAAAAAJALkg4AAAAAACAXJB0AAAAAAEAuSDoAAAAAAIBctJR0MLOzzOwWMxsxs3Vjtr3FzLaY2W1mdkrq/FPj87aY2ZtbuX8AAAAAANC5Wq10+I2kF0r6afpMMztY0tmS1kg6VdJlZlY1s6qkT0j6C0kHSzonviwAAAAAAAhMXytXdvdbJcnMxm46XdKX3X2HpLvNbIuk9fG2Le5+V3y9L8eX/W0r4wAAAAAAAJ0nr54O+0r6Q+rve+PzGp2/BzO70Mw2m9nmrVu35jRMAAAAAACQlwkrHczsakmLMza9zd2/0f4hRdx9k6RNkrRu3TrP634AAAAAAEA+Jkw6uPuJU7jd+yQtS/29ND5P45wPAAAAAAACktf0im9KOtvMBs1spaRVkm6Q9AtJq8xspZkNKGo2+c2cxgAAAAAAAErUUiNJMztT0sckLZD0bTO72d1PcfdbzOwrihpE7pb0t+4+HF/ntZKuklSV9Bl3v6WlRwAAAAAAADpSq6tXfE3S1xpsu1TSpRnnf0fSd1q5XwAAAAAA0Pnyml4BAAAAAAB6XEuVDgAAAAAAYGIffNGhmjWt9w7Be+8RAwAAAABQsLPWLZv4QgFiegUAAAAAAMgFSQcAAAAAAJALkg4AAAAAACAXJB0AAAAAAEAuSDoAAAAAAIBckHQAAAAAAAC5IOkAAAAAAAByQdIBAAAAAADkgqQDAAAAAADIBUkHAAAAAACQC5IOAAAAAAAgF+buZY9hQma2VdLvyx4H2ma+pD+WPQi0jDiGh5iGg1iGhXiGg1iGh5iGg1i2Zj93X5C1oSuSDgiLmW1293VljwOtIY7hIabhIJZhIZ7hIJbhIabhIJb5YXoFAAAAAADIBUkHAAAAAACQC5IOKMOmsgeAtiCO4SGm4SCWYSGe4SCW4SGm4SCWOaGnAwAAAAAAyAWVDgAAAAAAIBckHQAAAAAAQC5IOgAAAAAAgFyQdADQkJmda2aHxaet7PGgPcyMz/4AmNlfmtkBZY8DQD32neFhvxkO9p3l4A2EtjKzM8zsPWWPA60xsxPN7BpJH5F0uCQ5XWe7WryTvbjscaB18fvzPyR9WtI+ZY8HrWG/GQ72nWFhvxkW9p3l6it7AOh+cRa/Iunlkt4saT8z+767X1PuyNCMOI7TJH1e0kJJ75V0uqSheHvV3YfLGyGmwsz6JL1B0qslLTezH7n7zcSzu8TvzxmSrpA0S9Ilkv6npP0k/czMKu4+Ut4I0Qz2m+Fg3xke9pvhYN/ZOah0QMs8Mixpi6LM/msk8atNl4nj+GdJX3L3De5+laTrJJ0Xb2dH24Xcfbek2yQ9XdLFkj4Vn088u0j8/nxC0hfj9+cPJV2l6OBGfGnqLuw3w8G+MzzsN8PBvrNzkHTAlJnZ68zscjP7m/isn7j7Nne/XNIMM/vr+HK8zjpYKo6vlCR3/0Z8flXS3ZJuMbNlZY4RzYlj+n4ze3F81rfdfbu7f0TSQjM7N75cf2mDxKSkYnmWJLn7v8XnVyQ9KukPZjZY5hgxeew3w8G+MyzsN8PCvrPzsFPDlJjZBZLOlXSlpPPM7C2S9k9d5B2SLjazuWQRO9eYOL7MzN5qZvtLtYz+45IOk/SnssaIybPI6yW9RNJmSe+KYzw3dbGLJX1Qktx9V+GDxKRkxPLdZnaBmS2Qar/O3C3pee6+o8ShYpLYb4aDfWc42G+GhX1n5yLpgKnaKOmf3P17iua9TZP00mSju39X0q2SLjSzWUmmER1nbBwHJL0s2ejuv5a0XdLZ5QwPzYgblp0g6RJ3/6qk10s6VNIpqct8TdLtZvZGKWqsVMZYMb4GsTxM0qmpy1wn6V4z+8tyRokmsd8MB/vOQLDfDAv7zs5F0gFNSZV83iTp+ZLk7psl/Yekfc3sOamL/72kf5R0h6TFRY4T4xsnjtcriuMx8eVM0dy3afFpdIix8UjFdLOkYyUp/kJ8h6Q1ZrY6dfFXS/qAmf23pH0LGC7G0UQsb1cUy6fHl9tL0u8k8ctbB2O/GQ72nWFhvxkW9p2djaQDxmVmz7HUWrapks9rJVXM7Lj4799IekDSkvh6T5N0maSvSzrC3T9W2KCxhybjeL/ipYTijPFCSU+y7FfHmZ7+IxXTLZJmmdkh8d8/kTRbUddmmdlaSZcrKgs+wt0/X8hoMZ5mYzkzvtzjkpZKWlTQODEJ8Zz+WjKJ/Wb3ajKW7Ds73DjxZL/ZhaYQT/adJSLpgExmdoSZfV/SjxS9UZPzk9fMHZJukfQSi5YQulfRm3dFvP0xSa919xe6+/3FjRxpU4zjYo3GUZLe6O6fKWjImICZHW1mV0r6hJmdnNrpJksg3yBpt6STzazP3X+r6FeZdfH2hyW9xt3P4r1ZrjbEUpLOdvfPFTluZDOzZ5nZ5ZJeb2azkoPNVDzZb3aJKcaSfWeHin94+bykS8xsXiqeSVNI9ptdpA3xlNh3Fo6kA+qYWb+ZfUrSJkn/oqg8cEO8rZrKIm6TdI2kQUn/HL/R5yr6YJa7b3X3OwoePmLtiqMkufvOAoeOcZjZBkW/hP5fRct5vUzSXIvWmd4tSe6+RVFp4QGS3hxfdYek38fb/xDPN0aJWozlPcntuPv2wgaNhszseEkfV5TgXSLprWZ2slRbfk9iv9kV2hHL+LLsOzuARQ0+L5P0Y0n7SXqPmZ0mjTaFZL/ZPVqM5z3J7bDvLB5JB4w1KOmnko51928p+kJ8UJwpHJYkM3uXpH9V9KvM2xXtaK+J/6bkrDMQxzAdKukX7v4lSV+U1C/piSSJZGbvNbNPS7pRUbJpvZndKOkRRYkndI5WYvn9ksaMxo6UdK27XyHpvYoqGM4xs0VSFE/xedstiGVY1ku6Nf5V+42Sbpb0AjPbR2K/2YVaiSf7zhL1TXwRhM7Mjpb0iLvfrmj+4ZdSm6uSht19dzxn6hBJqyS92d3vjK//Ckkz3H1b0WPHKOIYnjExlaJE0jvN7H5Jr1HU6f4yM7tK0h8ULb/3Dne/J77+uZL63P1PRY8d9YhlWDLieZuktWa2xN3vN7MnJO0t6Qwz+7GiePJ524GIZVjM7AWKfgHf7O7XKyq1v8jMlrv7f5nZtYp+AT/bzH4hPms7GvEMB5UOPczM5pjZtyX9QNKLzWyGu7tFktfGTySdadG64S7p1+5+rrvfmVzG3UfY2ZaHOIYnI6ZJ86ObFS37tJ+i+aUbFDU0O1FRoulcd9+SiukT7GjLRSzD0iieirqjPy7pcxb16Vim6Be4We5+O5+3nYdYhsXM9jGzf5f0JkXVJ581s1Pc/S5FK8UkS9Depqgfx14a/S7EZ22HIZ7hIenQ22YoKh27KD59nBR1XXb3kfgNe098meOTbVLUiDDVFwDlIo7hGRvTY5MN7n6DpAWK55oqmnc8R9KjEjHtQMQyLI0+b++QdLGi5S7/j7ufqeiL8IbkisSz4xDLsKyTdI27H+vu75H0UUkXxtuukXSImR0VTzG9T9Jx7v6YRDw7FPEMDEmHHmNm55vZ8Wa2l7vfp6jR4FckbZd0lJklS3dZ/IYdjK+6PTlfqluWBiUgjuFpIqaDkq5TVJIvSRslzYsvR0w7ALEMywTxXJ/E0913uvuP3f3L8VWPkPS95HaIZ/mIZVjieG6IP0t/KOkLqc0PK6pakaSfS7pJ0ofjipY1kn5vZkMS8ewUxDNsJB16QFxmv088F/GvJL1U0ifNbL67b3f3pyRdrah86blS9Eu4RascPKnodXJ0cn45jwLEMTxNxnSjJLn7DknflDTTzH4q6RxFy+w9VM6jgEQsQzOVz9vUdY+xqHHZsZK+VfTYUY9YhiUjnudK+oykIXd/wEaXTdxHUUzl7v/t7h9VdLD6GUWrBf1THHuUiHj2DpIOgYsPOF3SLEn3uftGSa9W1MV1U3I5d79WUQn+081stpkNxSVLkvQKd39nsSNHGnEMzxRiutqiOcjT3f0WRTvnC9x9o7vfWvwjQIJYhqWFz9sZ8aa7JL3d3U/xuJkZykEswzLJeCa/cp8k6avx9RbG571J0l+7+1HufltxI0cW4tlbSDoEysyqZvY+Se+zaM3p1ZKGJSk+CP07Sc+OtyUulzRTUVOlu9NlhoUOHjXEMTxtiOk9Zravu//Zo4ZKKAmxDEsb4nmXmS119/vd/TsFDx8pxDIszcTT3YfNbEDSVkm3m9mlkn5gUSPt3U7Tz9IRz95E0iFA8Rv4RkVlSFskvUfSLkknmNl6qTbf6Z3xv8TzFM0t/pWkQ9z9/uJGjbGIY3jaENObFcX0vsIGjUzEMixt/Ly9t7hRIwuxDEuT8XxXfLVpki5Q1BdglqQT3f3RQgeOTMSzd/WVPQDkYkTSh9z9C5JkZodLWinpHZI+KelIi1Y0+Lqk55rZirhscLuiN/JPSxk1xiKO4SGm4SCWYSGe4SCWYWk2nkslLZH0RUkf9mh5YnQO4tmjqHQI042SvmJm1fjvayUtd/fPSaqa2UVxFnGppOFknqK7f4OdbUchjuEhpuEglmEhnuEglmFpJp4j7n6vu9/g7udzgNqRiGePIukQIHd/yt13+GgDwZMUzYWSpJdLOsjMviXpCkm/lEaXUETnII7hIabhIJZhIZ7hIJZhaTKeN0rEs5MRz97F9IqAxVlEl7RI0bJskrRN0lslPUPS3cl8YneWUOxUxDE8xDQcxDIsxDMcxDIsxDMsxLP3UOkQthFJ/ZL+KOnQOHP4dkXlSj9zGph1C+IYHmIaDmIZFuIZDmIZFuIZFuLZY4zkUdjM7GhJ18X/Puvuny55SJgC4hgeYhoOYhkW4hkOYhkW4hkW4tlbSDoELu76ep6ijq87yh4PpoY4hoeYhoNYhoV4hoNYhoV4hoV49haSDgAAAAAAIBf0dAAAAAAAALkg6QAAAAAAAHJB0gEAAAAAAOSCpAMAAAAAAMgFSQcAANAWZjZsZjeb2S1m9isze4OZjftdw8xWmNm5RY0RAAAUi6QDAABolz+7+1p3XyPpJEl/IekfJrjOCkkkHQAACBRLZgIAgLYwsyfcfWbq7/0l/ULSfEn7SfqCpBnx5te6+3Vmdr2kgyTdLenzkv5F0vslbZA0KOkT7v6pwh4EAABoK5IOAACgLcYmHeLz/iRptaRtkkbcfbuZrZJ0hbuvM7MNkt7o7s+PL3+hpIXu/l4zG5R0raSz3P3uAh8KAABok76yBwAAAHpCv6SPm9laScOSDmxwuZMlHWpmL4r/ni1plaJKCAAA0GVIOgAAgFzE0yuGJT2kqLfDg5IOU9RTanujq0m6yN2vKmSQAAAgVzSSBAAAbWdmCyT9b0kf92gu52xJD7j7iKTzJFXji26TNCt11askvdrM+uPbOdDMZggAAHQlKh0AAEC7TDezmxVNpditqHHkh+Ntl0m60szOl/Q9SU/G5/+npGEz+5Wkz0n6qKIVLX5pZiZpq6Qzihk+AABoNxpJAgAAAACAXDC9AgAAAAAA5IKkAwAAAAAAyAVJBwAAAAAAkAuSDgAAAAAAIBckHQAAAAAAQC5IOgAAAAAAgFyQdAAAAAAAALkg6QAAAAAAAHLx/wH2IOUpN6iSeQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "d=1\n",
    "# d=3\n",
    "gold_diff=gold_data.diff(d)\n",
    "gold_diff.plot(figsize=(18,6))\n",
    "x=np.array(gold_diff)\n",
    "x=x[np.logical_not(np.isnan(x))]\n",
    "adftest=adfuller(x,autolag='AIC')\n",
    "print(adftest)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 648x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gold_diff.dropna(inplace=True)\n",
    "fig=plt.figure(figsize=(9,10))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig=sm.graphics.tsa.plot_acf(gold_diff,lags=20,ax=ax1)\n",
    "ax2=fig.add_subplot(212)\n",
    "fig=sm.graphics.tsa.plot_pacf(gold_diff,lags=20,ax=ax2,method='ywm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\base\\model.py:604: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  warnings.warn(\"Maximum Likelihood optimization failed to \"\n"
     ]
    }
   ],
   "source": [
    "(p,q)=sm.tsa.arma_order_select_ic(gold_diff,max_ar=3,max_ma=3,ic=['aic'])['aic_min_order']\n",
    "print(p,q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "# gold_diff.index\n",
    "# x=(gold_diff.index-gold_diff.index.min())/np.timedelta64(1,'D')\n",
    "# x=x.values\n",
    "# y=gold_diff['USD (PM)'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n",
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:471: ValueWarning: A date index has been provided, but it has no associated frequency information and so will be ignored when e.g. forecasting.\n",
      "  self._init_dates(dates, freq)\n"
     ]
    }
   ],
   "source": [
    "# model=ARIMA(gold_diff,order=(4,1,5))\n",
    "model=ARIMA(gold_diff,order=(1,d,0))\n",
    "# 4 1 5 pass LBox\n",
    "gold_diff_mod=model.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8151.229993490388 8161.025403376645 8154.954748447732\n"
     ]
    }
   ],
   "source": [
    "print(gold_diff_mod.aic,gold_diff_mod.bic,gold_diff_mod.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\graphics\\tsaplots.py:348: FutureWarning: The default method 'yw' can produce PACF values outside of the [-1,1] interval. After 0.13, the default will change tounadjusted Yule-Walker ('ywm'). You can use this method now by setting method='ywm'.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "resid=gold_diff_mod.resid\n",
    "resid=pd.Series(resid)\n",
    "fig=plt.figure(figsize=(12,8))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig=sm.graphics.tsa.plot_acf(resid.values.squeeze(),lags=40,ax=ax1)\n",
    "ax2=fig.add_subplot(212)\n",
    "fig=sm.graphics.tsa.plot_pacf(resid,lags=40,ax=ax2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "D-W检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.2670050823659764\n"
     ]
    }
   ],
   "source": [
    "print(sm.stats.durbin_watson(resid))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "是否符合正态分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,6)) \n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "all the input array dimensions for the concatenation axis must match exactly, but along dimension 0, the array at index 0 has size 30 and the array at index 1 has size 29",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m~\\AppData\\Local\\Temp/ipykernel_1792/2186947802.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[0mr\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mq\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mp\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0msm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtsa\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0macf\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mresid\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqueeze\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mqstat\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;32mTrue\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m \u001b[0mdata\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mc_\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;36m31\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mq\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mp\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      3\u001b[0m \u001b[0mtable\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mpd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mDataFrame\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdata\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mcolumns\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'lag'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"AC\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"Q\"\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;34m\"Prob(>Q)\"\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[0mtable\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mset_index\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'lag'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\numpy\\lib\\index_tricks.py\u001b[0m in \u001b[0;36m__getitem__\u001b[1;34m(self, key)\u001b[0m\n\u001b[0;32m    411\u001b[0m                 \u001b[0mobjs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mobjs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfinal_dtype\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    412\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 413\u001b[1;33m         \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mconcatenate\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtuple\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mobjs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0maxis\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    414\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    415\u001b[0m         \u001b[1;32mif\u001b[0m \u001b[0mmatrix\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<__array_function__ internals>\u001b[0m in \u001b[0;36mconcatenate\u001b[1;34m(*args, **kwargs)\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: all the input array dimensions for the concatenation axis must match exactly, but along dimension 0, the array at index 0 has size 30 and the array at index 1 has size 29"
     ]
    }
   ],
   "source": [
    "r,q,p=sm.tsa.acf(resid.values.squeeze(),qstat=True) \n",
    "data=np.c_[range(1,31),r[1:],q,p]\n",
    "table=pd.DataFrame(data,columns=['lag', \"AC\", \"Q\",\"Prob(>Q)\"]) \n",
    "table.set_index('lag')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>SARIMAX Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>       <td>USD (PM)</td>     <th>  No. Observations:  </th>   <td>1254</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>ARIMA(2, 1, 3)</td>  <th>  Log Likelihood     </th> <td>-5071.746</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>            <td>Sun, 20 Feb 2022</td> <th>  AIC                </th> <td>10155.493</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>                <td>11:46:58</td>     <th>  BIC                </th> <td>10186.293</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Sample:</th>                  <td>0</td>        <th>  HQIC               </th> <td>10167.070</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th></th>                      <td> - 1254</td>     <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Covariance Type:</th>        <td>opg</td>       <th>                     </th>     <td> </td>    \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "     <td></td>       <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L1</th>  <td>   -1.6933</td> <td>    0.006</td> <td> -266.401</td> <td> 0.000</td> <td>   -1.706</td> <td>   -1.681</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ar.L2</th>  <td>   -0.9966</td> <td>    0.006</td> <td> -167.349</td> <td> 0.000</td> <td>   -1.008</td> <td>   -0.985</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L1</th>  <td>    0.6833</td> <td>    1.012</td> <td>    0.675</td> <td> 0.500</td> <td>   -1.300</td> <td>    2.667</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L2</th>  <td>   -0.6948</td> <td>    1.704</td> <td>   -0.408</td> <td> 0.683</td> <td>   -4.034</td> <td>    2.644</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ma.L3</th>  <td>   -0.9885</td> <td>    1.001</td> <td>   -0.988</td> <td> 0.323</td> <td>   -2.950</td> <td>    0.973</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>sigma2</th> <td>  190.7588</td> <td>  194.074</td> <td>    0.983</td> <td> 0.326</td> <td> -189.619</td> <td>  571.136</td>\n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "  <th>Ljung-Box (L1) (Q):</th>     <td>2.46</td> <th>  Jarque-Bera (JB):  </th> <td>3146.96</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(Q):</th>                <td>0.12</td> <th>  Prob(JB):          </th>  <td>0.00</td>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Heteroskedasticity (H):</th> <td>5.06</td> <th>  Skew:              </th>  <td>-0.68</td> \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Prob(H) (two-sided):</th>    <td>0.00</td> <th>  Kurtosis:          </th>  <td>10.64</td> \n",
       "</tr>\n",
       "</table><br/><br/>Warnings:<br/>[1] Covariance matrix calculated using the outer product of gradients (complex-step)."
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                               SARIMAX Results                                \n",
       "==============================================================================\n",
       "Dep. Variable:               USD (PM)   No. Observations:                 1254\n",
       "Model:                 ARIMA(2, 1, 3)   Log Likelihood               -5071.746\n",
       "Date:                Sun, 20 Feb 2022   AIC                          10155.493\n",
       "Time:                        11:46:58   BIC                          10186.293\n",
       "Sample:                             0   HQIC                         10167.070\n",
       "                               - 1254                                         \n",
       "Covariance Type:                  opg                                         \n",
       "==============================================================================\n",
       "                 coef    std err          z      P>|z|      [0.025      0.975]\n",
       "------------------------------------------------------------------------------\n",
       "ar.L1         -1.6933      0.006   -266.401      0.000      -1.706      -1.681\n",
       "ar.L2         -0.9966      0.006   -167.349      0.000      -1.008      -0.985\n",
       "ma.L1          0.6833      1.012      0.675      0.500      -1.300       2.667\n",
       "ma.L2         -0.6948      1.704     -0.408      0.683      -4.034       2.644\n",
       "ma.L3         -0.9885      1.001     -0.988      0.323      -2.950       0.973\n",
       "sigma2       190.7588    194.074      0.983      0.326    -189.619     571.136\n",
       "===================================================================================\n",
       "Ljung-Box (L1) (Q):                   2.46   Jarque-Bera (JB):              3146.96\n",
       "Prob(Q):                              0.12   Prob(JB):                         0.00\n",
       "Heteroskedasticity (H):               5.06   Skew:                            -0.68\n",
       "Prob(H) (two-sided):                  0.00   Kurtosis:                        10.64\n",
       "===================================================================================\n",
       "\n",
       "Warnings:\n",
       "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n",
       "\"\"\""
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gold_diff_mod.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:834: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  return get_prediction_index(\n"
     ]
    }
   ],
   "source": [
    "predict=gold_diff_mod.forecast(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Date'>"
      ]
     },
     "execution_count": 385,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1296x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict=gold_diff_mod.predict()\n",
    "# predict=gold_diff_mod.forecast(100)\n",
    "predict=pd.Series(predict)\n",
    "predict.plot(figsize=(18,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x28969048a00>]"
      ]
     },
     "execution_count": 386,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(25,4))\n",
    "plt.plot(x,gold_diff)\n",
    "plt.plot(x,predict,color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['2016-09-13T00:00:00.000000000', '2016-09-14T00:00:00.000000000',\n",
       "       '2016-09-15T00:00:00.000000000', ...,\n",
       "       '2021-09-08T00:00:00.000000000', '2021-09-09T00:00:00.000000000',\n",
       "       '2021-09-10T00:00:00.000000000'], dtype='datetime64[ns]')"
      ]
     },
     "execution_count": 387,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gold_diff.index.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\LaoZhu\\AppData\\Local\\Programs\\Python\\Python38\\lib\\site-packages\\statsmodels\\tsa\\base\\tsa_model.py:834: ValueWarning: No supported index is available. Prediction results will be given with an integer index beginning at `start`.\n",
      "  return get_prediction_index(\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 389,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict=gold_diff_mod.forecast(10)\n",
    "predict.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "b5fc3e43e814ad01a3162358639356c8d5269fa9e7a0a06af2b9cdf0ba130cad"
  },
  "kernelspec": {
   "display_name": "Python 3.8.8 64-bit",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
